432204402120 has 256 divisors, whose sum is σ = 1400405034240. Its totient is φ = 106305159168.

The previous prime is 432204402073. The next prime is 432204402151. The reversal of 432204402120 is 21204402234.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124660627 + ... + 124664093.

It is an arithmetic number, because the mean of its divisors is an integer number (5470332165).

Almost surely, 2^432204402120 is an apocalyptic number.

432204402120 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 432204402120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700202517120).

432204402120 is an abundant number, since it is smaller than the sum of its proper divisors (968200632120).

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

432204402120 is a wasteful number, since it uses less digits than its factorization.

432204402120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4704 (or 4700 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 432204402120 its reverse (21204402234), we get a palindrome (453408804354).

The spelling of 432204402120 in words is "four hundred thirty-two billion, two hundred four million, four hundred two thousand, one hundred twenty".