431204651125416 has 96 divisors (see below), whose sum is σ = 1334721377808000. Its totient is φ = 123197607527040.

The previous prime is 431204651125361. The next prime is 431204651125487. The reversal of 431204651125416 is 614521156402134.

431204651125416 is a `hidden beast` number, since 4 + 3 + 1 + 2 + 0 + 46 + 51 + 12 + 541 + 6 = 666.

It is a super-2 number, since 2×431204651125416² (a number of 30 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 3802261 + ... + 29611931.

It is an arithmetic number, because the mean of its divisors is an integer number (13903347685500).

Almost surely, 2^{431204651125416} is an apocalyptic number.

It is an amenable number.

431204651125416 is an abundant number, since it is smaller than the sum of its proper divisors (903516726682584).

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

431204651125416 is a wasteful number, since it uses less digits than its factorization.

431204651125416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25842839 (or 25842832 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 431204651125416 in words is "four hundred thirty-one trillion, two hundred four billion, six hundred fifty-one million, one hundred twenty-five thousand, four hundred sixteen".