432055205200 has 120 divisors (see below), whose sum is σ = 1051565070528. Its totient is φ = 170569866240.

The previous prime is 432055205177. The next prime is 432055205201. The reversal of 432055205200 is 2502550234.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432055205201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36414469 + ... + 36426331.

Almost surely, 2^432055205200 is an apocalyptic number.

432055205200 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 432055205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525782535264).

432055205200 is an abundant number, since it is smaller than the sum of its proper divisors (619509865328).

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

432055205200 is a wasteful number, since it uses less digits than its factorization.

432055205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13061 (or 13050 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

Adding to 432055205200 its reverse (2502550234), we get a palindrome (434557755434).

The spelling of 432055205200 in words is "four hundred thirty-two billion, fifty-five million, two hundred five thousand, two hundred".