432401312400 has 60 divisors (see below), whose sum is σ = 1385125541232. Its totient is φ = 115307016320.

The previous prime is 432401312363. The next prime is 432401312411. The reversal of 432401312400 is 4213104234.

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 180166014 + ... + 180168413.

Almost surely, 2^432401312400 is an apocalyptic number.

432401312400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432401312400 is an abundant number, since it is smaller than the sum of its proper divisors (952724228832).

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

432401312400 is a wasteful number, since it uses less digits than its factorization.

432401312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360334448 (or 360334437 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 432401312400 its reverse (4213104234), we get a palindrome (436614416634).

The spelling of 432401312400 in words is "four hundred thirty-two billion, four hundred one million, three hundred twelve thousand, four hundred".