Your hexadecimal number in $testString needs to begin with 0x be properly interpreted as hexadecimal. Then it will work. You can also simplify your white-space removal. All together, here is one way to get where you want to go:
$testString =~ s/\s+//g;
$testString =~ s/^/0x/;
$maskResult = $testString & 400000000000000000000000;
Updated: Need to use hex and need to have mask as hex string.
Updated 2: I see ikegami has also pointed out my error(s) corrected above.
Updated 3: and ikegami has also noted the need for Math::BigInt here.
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