432343111400 has 96 divisors (see below), whose sum is σ = 1058332262400. Its totient is φ = 163799769600.

The previous prime is 432343111399. The next prime is 432343111471. The reversal of 432343111400 is 4111343234.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 432343111400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23334140 + ... + 23352660.

It is an arithmetic number, because the mean of its divisors is an integer number (11024294400).

Almost surely, 2^432343111400 is an apocalyptic number.

432343111400 is a gapful number since it is divisible by the number (40) 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 432343111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529166131200).

432343111400 is an abundant number, since it is smaller than the sum of its proper divisors (625989151000).

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

432343111400 is a wasteful number, since it uses less digits than its factorization.

432343111400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24699 (or 24690 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 432343111400 its reverse (4111343234), we get a palindrome (436454454634).

The spelling of 432343111400 in words is "four hundred thirty-two billion, three hundred forty-three million, one hundred eleven thousand, four hundred".