431012013432 has 512 divisors, whose sum is σ = 1510403328000. Its totient is φ = 98885836800.

The previous prime is 431012013413. The next prime is 431012013517. The reversal of 431012013432 is 234310210134.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54218194 + ... + 54226142.

It is an arithmetic number, because the mean of its divisors is an integer number (2950006500).

Almost surely, 2^431012013432 is an apocalyptic number.

431012013432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431012013432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755201664000).

431012013432 is an abundant number, since it is smaller than the sum of its proper divisors (1079391314568).

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

431012013432 is a wasteful number, since it uses less digits than its factorization.

431012013432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8087 (or 8083 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 431012013432 its reverse (234310210134), we get a palindrome (665322223566).

The spelling of 431012013432 in words is "four hundred thirty-one billion, twelve million, thirteen thousand, four hundred thirty-two".