456322601445040 has 80 divisors (see below), whose sum is σ = 1185629322429216. Its totient is φ = 161888284313600.

The previous prime is 456322601444993. The next prime is 456322601445059. The reversal of 456322601445040 is 40544106223654.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×456322601445040² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6323725027 + ... + 6323797186.

Almost surely, 2^{456322601445040} is an apocalyptic number.

456322601445040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456322601445040 is an abundant number, since it is smaller than the sum of its proper divisors (729306720984176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456322601445040 is a wasteful number, since it uses less digits than its factorization.

456322601445040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12647522278 (or 12647522272 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 46.

Adding to 456322601445040 its reverse (40544106223654), we get a palindrome (496866707668694).

The spelling of 456322601445040 in words is "four hundred fifty-six trillion, three hundred twenty-two billion, six hundred one million, four hundred forty-five thousand, forty".