diff --git a/lib/checkbufferoverrun.cpp b/lib/checkbufferoverrun.cpp
index c97642b9930..74a38b79c67 100644
--- a/lib/checkbufferoverrun.cpp
+++ b/lib/checkbufferoverrun.cpp
@@ -631,9 +631,9 @@ ValueFlow::Value CheckBufferOverrunImpl::getBufferSize(const Token *bufTok, cons
     if (!var || var->isPointer() || (astIsContainer(bufTok) && var->getTypeName() != "std::array"))
         return ValueFlow::Value(-1);
 
-    const MathLib::bigint dim = std::accumulate(var->dimensions().cbegin(), var->dimensions().cend(), MathLib::bigint(1), [](MathLib::bigint i1, const Dimension &dim) {
-        return i1 * dim.num;
-    });
+    MathLib::bigint dim = 0;
+    if (!var->dimensionsProduct(dim))
+        return ValueFlow::Value(-1);
 
     ValueFlow::Value v;
     v.setKnown();
diff --git a/lib/clangimport.cpp b/lib/clangimport.cpp
index 0043f5a3cde..2b64c5f7409 100644
--- a/lib/clangimport.cpp
+++ b/lib/clangimport.cpp
@@ -43,7 +43,6 @@
 #include <string>
 #include <utility>
 #include <vector>
-#include <numeric>
 
 class Settings;
 
@@ -1638,9 +1637,11 @@ static void setValues(const Tokenizer &tokenizer, const SymbolDatabase *symbolDa
 
         MathLib::bigint typeSize = 0;
         for (const Variable &var: scope.varlist) {
-            const MathLib::bigint mul = std::accumulate(var.dimensions().cbegin(), var.dimensions().cend(), MathLib::bigint(1), [](MathLib::bigint v, const Dimension& dim) {
-                return v * dim.num;
-            });
+            MathLib::bigint mul = 0;
+            if (!var.dimensionsProduct(mul)) {
+                typeSize = 0;
+                break;
+            }
             if (var.valueType())
                 typeSize += mul * var.valueType()->getSizeOf(settings, ValueType::Accuracy::ExactOrZero, ValueType::SizeOf::Pointer);
         }
diff --git a/lib/symboldatabase.cpp b/lib/symboldatabase.cpp
index 26801640e99..02787d8d238 100644
--- a/lib/symboldatabase.cpp
+++ b/lib/symboldatabase.cpp
@@ -46,6 +46,7 @@
 #include <iomanip>
 #include <iostream>
 #include <iterator>
+#include <limits>
 #include <numeric>
 #include <sstream>
 #include <stack>
@@ -2515,6 +2516,22 @@ bool Variable::isMember() const {
     return mScope && mScope->isClassOrStructOrUnion();
 }
 
+bool Variable::dimensionsProduct(MathLib::bigint &product) const
+{
+    const MathLib::bigint maxValue = std::numeric_limits<MathLib::bigint>::max();
+    const MathLib::bigint minValue = std::numeric_limits<MathLib::bigint>::min();
+    product = 1;
+    for (const Dimension &dim : mDimensions) {
+        const MathLib::bigint n = dim.num;
+        if (product > 0 && (n > 0 ? product > maxValue / n : n < minValue / product))
+            return false;
+        if (product < 0 && (n > 0 ? product < minValue / n : (n < 0 && product < maxValue / n)))
+            return false;
+        product *= n;
+    }
+    return true;
+}
+
 bool Variable::isPointerArray() const
 {
     if (!isArray())
@@ -8698,9 +8715,9 @@ static Result accumulateStructMembers(const Scope* scope, F f, ValueType::Accura
         if (const ValueType* vt = var.valueType()) {
             if (vt->type == ValueType::Type::RECORD && vt->typeScope == scope)
                 return {0, false};
-            const MathLib::bigint dim = std::accumulate(var.dimensions().cbegin(), var.dimensions().cend(), MathLib::bigint(1), [](MathLib::bigint i1, const Dimension& dim) {
-                return i1 * dim.num;
-            });
+            MathLib::bigint dim = 0;
+            if (!var.dimensionsProduct(dim))
+                return {0, false};
             if (var.nameToken()->scope() != scope && var.nameToken()->scope()->definedType) { // anonymous union
                 const auto ret = anonScopes.insert(var.nameToken()->scope());
                 if (ret.second)
diff --git a/lib/symboldatabase.h b/lib/symboldatabase.h
index 832bcddeab3..c4199b223fa 100644
--- a/lib/symboldatabase.h
+++ b/lib/symboldatabase.h
@@ -547,6 +547,13 @@ class CPPCHECKLIB Variable {
         return mDimensions;
     }
 
+    /**
+     * Get the number of array elements, the product of all dimension lengths.
+     * @param[out] product the number of elements
+     * @return false if the product does not fit in a MathLib::bigint
+     */
+    bool dimensionsProduct(MathLib::bigint &product) const;
+
     /**
      * Get array dimension length.
      * @return length of dimension
diff --git a/test/testbufferoverrun.cpp b/test/testbufferoverrun.cpp
index 0e0bf5ce385..44c67eff08b 100644
--- a/test/testbufferoverrun.cpp
+++ b/test/testbufferoverrun.cpp
@@ -271,6 +271,7 @@ class TestBufferOverrun : public TestFixture {
         TEST_CASE(minsize_strlen);
         TEST_CASE(minsize_mul);
         TEST_CASE(minsize_overflow);
+        TEST_CASE(arraysize_overflow);
         TEST_CASE(unknownType);
 
         TEST_CASE(terminateStrncpy1);
@@ -4990,6 +4991,21 @@ class TestBufferOverrun : public TestFixture {
         ASSERT_EQUALS("[test.cpp:3:19]: (error) Buffer is accessed out of bounds: buf [bufferAccessOutOfBounds]\n", errout_str());
     }
 
+    void arraysize_overflow() {
+        // the number of array elements must not wrap around
+        check("void f() {\n"
+              "    char a[0x4000000000000001][4];\n"
+              "    memset(a, 0, 10);\n"
+              "}\n", settings0);
+        ASSERT_EQUALS("", errout_str());
+
+        check("void f() {\n"
+              "    char a[0x100000000][0x100000000];\n"
+              "    memset(a, 0, 10);\n"
+              "}\n", settings0);
+        ASSERT_EQUALS("", errout_str());
+    }
+
     // extracttests.enable
 
     void unknownType() {
diff --git a/test/testvalueflow.cpp b/test/testvalueflow.cpp
index 1e953af1535..0aa9bc1aa70 100644
--- a/test/testvalueflow.cpp
+++ b/test/testvalueflow.cpp
@@ -1864,6 +1864,13 @@ class TestValueFlow : public TestFixture {
         ASSERT_EQUALS(1U, values.size());
         ASSERT_EQUALS(settings.platform.sizeof_int, values.back().intvalue);
         ASSERT_EQUALS_ENUM(ValueFlow::Value::ValueKind::Known, values.back().valueKind);
+
+        // the number of array elements does not fit in a MathLib::bigint
+        code = "struct S { char m[0x4000000000000001][4]; };\n"
+               "x = sizeof(S);\n";
+        values = tokenValues(code, "( S");
+        ASSERT_EQUALS(1U, values.size());
+        ASSERT(values.back().isImpossible());
     }
 
     void valueFlowComma()