432421421200 has 60 divisors (see below), whose sum is σ = 1038956800500. Its totient is φ = 172957857280.

The previous prime is 432421421197. The next prime is 432421421207. The reversal of 432421421200 is 2124124234.

It can be written as a sum of positive squares in 6 ways, for example, as 251920384 + 432169500816 = 15872^2 + 657396^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (432421421207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10858926 + ... + 10898674.

It is an arithmetic number, because the mean of its divisors is an integer number (17315946675).

Almost surely, 2^432421421200 is an apocalyptic number.

432421421200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432421421200 is an abundant number, since it is smaller than the sum of its proper divisors (606535379300).

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

432421421200 is a wasteful number, since it uses less digits than its factorization.

432421421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66964 (or 66953 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 432421421200 its reverse (2124124234), we get a palindrome (434545545434).

The spelling of 432421421200 in words is "four hundred thirty-two billion, four hundred twenty-one million, four hundred twenty-one thousand, two hundred".