431991307104 has 192 divisors, whose sum is σ = 1334478136320. Its totient is φ = 119790305280.

The previous prime is 431991307093. The next prime is 431991307123. The reversal of 431991307104 is 401703199134.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5276917 + ... + 5358155.

It is an arithmetic number, because the mean of its divisors is an integer number (6950406960).

Almost surely, 2^431991307104 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 431991307104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667239068160).

431991307104 is an abundant number, since it is smaller than the sum of its proper divisors (902486829216).

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

431991307104 is a wasteful number, since it uses less digits than its factorization.

431991307104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81493 (or 81485 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 431991307104 in words is "four hundred thirty-one billion, nine hundred ninety-one million, three hundred seven thousand, one hundred four".