431332012032 has 416 divisors, whose sum is σ = 1287074764800. Its totient is φ = 127826657280.

The previous prime is 431332012021. The next prime is 431332012037. The reversal of 431332012032 is 230210233134.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 431332011993 and 431332012011.

It is not an unprimeable number, because it can be changed into a prime (431332012037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278457594 + ... + 278459142.

Almost surely, 2^431332012032 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 431332012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643537382400).

431332012032 is an abundant number, since it is smaller than the sum of its proper divisors (855742752768).

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

431332012032 is a wasteful number, since it uses less digits than its factorization.

431332012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 431332012032 its reverse (230210233134), we get a palindrome (661542245166).

The spelling of 431332012032 in words is "four hundred thirty-one billion, three hundred thirty-two million, twelve thousand, thirty-two".