431134722272 has 72 divisors (see below), whose sum is σ = 914363568720. Its totient is φ = 200029061120.

The previous prime is 431134722257. The next prime is 431134722301. The reversal of 431134722272 is 272227431134.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 328304 + ... + 984912.

It is an arithmetic number, because the mean of its divisors is an integer number (12699494010).

Almost surely, 2^431134722272 is an apocalyptic number.

It is a pronic number, being equal to 656608×656609.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431134722272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457181784360).

431134722272 is an abundant number, since it is smaller than the sum of its proper divisors (483228846448).

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

431134722272 is a wasteful number, since it uses less digits than its factorization.

431134722272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656724 (or 656699 counting only the distinct ones).

The product of its digits is 112896, while the sum is 38.

The spelling of 431134722272 in words is "four hundred thirty-one billion, one hundred thirty-four million, seven hundred twenty-two thousand, two hundred seventy-two".