431104431312 has 120 divisors (see below), whose sum is σ = 1227359390400. Its totient is φ = 141217887744.

The previous prime is 431104431311. The next prime is 431104431337. The reversal of 431104431312 is 213134401134.

431104431312 is a `hidden beast` number, since 4 + 311 + 0 + 4 + 4 + 31 + 312 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431104431311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32014693 + ... + 32028155.

It is an arithmetic number, because the mean of its divisors is an integer number (10227994920).

Almost surely, 2^431104431312 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 431104431312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613679695200).

431104431312 is an abundant number, since it is smaller than the sum of its proper divisors (796254959088).

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

431104431312 is a wasteful number, since it uses less digits than its factorization.

431104431312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17305 (or 17296 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 431104431312 its reverse (213134401134), we get a palindrome (644238832446).

The spelling of 431104431312 in words is "four hundred thirty-one billion, one hundred four million, four hundred thirty-one thousand, three hundred twelve".