432420222400 has 84 divisors (see below), whose sum is σ = 1070552410072. Its totient is φ = 171906831360.

The previous prime is 432420222397. The next prime is 432420222419. The reversal of 432420222400 is 4222024234.

It is a super-3 number, since 3×432420222400³ (a number of 36 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 568227 + ... + 1089826.

Almost surely, 2^432420222400 is an apocalyptic number.

432420222400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432420222400 is an abundant number, since it is smaller than the sum of its proper divisors (638132187672).

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

432420222400 is a wasteful number, since it uses less digits than its factorization.

432420222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658238 (or 1658223 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 432420222400 its reverse (4222024234), we get a palindrome (436642246634).

The spelling of 432420222400 in words is "four hundred thirty-two billion, four hundred twenty million, two hundred twenty-two thousand, four hundred".