431057025972 has 96 divisors (see below), whose sum is σ = 1124592268800. Its totient is φ = 142783689600.

The previous prime is 431057025911. The next prime is 431057025979. The reversal of 431057025972 is 279520750134.

It is a happy number.

431057025972 is a `hidden beast` number, since 4 + 3 + 1 + 0 + 57 + 0 + 2 + 597 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431057025979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11366322 + ... + 11404182.

It is an arithmetic number, because the mean of its divisors is an integer number (11714502800).

Almost surely, 2^431057025972 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 431057025972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562296134400).

431057025972 is an abundant number, since it is smaller than the sum of its proper divisors (693535242828).

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

431057025972 is a wasteful number, since it uses less digits than its factorization.

431057025972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38534 (or 38526 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 431057025972 in words is "four hundred thirty-one billion, fifty-seven million, twenty-five thousand, nine hundred seventy-two".