431137055104 has 256 divisors, whose sum is σ = 1019803115520. Its totient is φ = 177749157888.

The previous prime is 431137055077. The next prime is 431137055113. The reversal of 431137055104 is 401550731134.

It is a self number, because there is not a number n which added to its sum of digits gives 431137055104.

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, 734475099 + ... + 734475685.

It is an arithmetic number, because the mean of its divisors is an integer number (3983605920).

Almost surely, 2^431137055104 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 431137055104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509901557760).

431137055104 is an abundant number, since it is smaller than the sum of its proper divisors (588666060416).

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

431137055104 is a wasteful number, since it uses less digits than its factorization.

431137055104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

Adding to 431137055104 its reverse (401550731134), we get a palindrome (832687786238).

The spelling of 431137055104 in words is "four hundred thirty-one billion, one hundred thirty-seven million, fifty-five thousand, one hundred four".