456754657040 has 40 divisors (see below), whose sum is σ = 1158495905088. Its totient is φ = 166092602240.

The previous prime is 456754657033. The next prime is 456754657087. The reversal of 456754657040 is 40756457654.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259518812 + ... + 259520571.

Almost surely, 2^456754657040 is an apocalyptic number.

456754657040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456754657040 is an abundant number, since it is smaller than the sum of its proper divisors (701741248048).

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

456754657040 is a wasteful number, since it uses less digits than its factorization.

456754657040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519039407 (or 519039401 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 53.

The spelling of 456754657040 in words is "four hundred fifty-six billion, seven hundred fifty-four million, six hundred fifty-seven thousand, forty".