431396972160 has 2048 divisors, whose sum is σ = 1928945664000. Its totient is φ = 80923852800.

The previous prime is 431396972159. The next prime is 431396972173. The reversal of 431396972160 is 61279693134.

It is a super-2 number, since 2×431396972160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3817672264 + ... + 3817672376.

It is an arithmetic number, because the mean of its divisors is an integer number (941868000).

Almost surely, 2^431396972160 is an apocalyptic number.

431396972160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431396972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964472832000).

431396972160 is an abundant number, since it is smaller than the sum of its proper divisors (1497548691840).

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

431396972160 is a wasteful number, since it uses less digits than its factorization.

431396972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The spelling of 431396972160 in words is "four hundred thirty-one billion, three hundred ninety-six million, nine hundred seventy-two thousand, one hundred sixty".