56407573040 has 480 divisors, whose sum is σ = 170027242560. Its totient is φ = 17241735168.

The previous prime is 56407573039. The next prime is 56407573049. The reversal of 56407573040 is 4037570465.

It is not an unprimeable number, because it can be changed into a prime (56407573049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 219484592 + ... + 219484848.

It is an arithmetic number, because the mean of its divisors is an integer number (354223422).

Almost surely, 2^56407573040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56407573040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85013621280).

56407573040 is an abundant number, since it is smaller than the sum of its proper divisors (113619669520).

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

56407573040 is a wasteful number, since it uses less digits than its factorization.

56407573040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 41.

The spelling of 56407573040 in words is "fifty-six billion, four hundred seven million, five hundred seventy-three thousand, forty".