432130982400 has 720 divisors, whose sum is σ = 1727281780224. Its totient is φ = 106360750080.

The previous prime is 432130982377. The next prime is 432130982449. The reversal of 432130982400 is 4289031234.

432130982400 is a `hidden beast` number, since 4 + 32 + 130 + 98 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40429857 + ... + 40440543.

Almost surely, 2^432130982400 is an apocalyptic number.

432130982400 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 432130982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863640890112).

432130982400 is an abundant number, since it is smaller than the sum of its proper divisors (1295150797824).

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

432130982400 is a wasteful number, since it uses less digits than its factorization.

432130982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10743 (or 10710 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 432130982400 in words is "four hundred thirty-two billion, one hundred thirty million, nine hundred eighty-two thousand, four hundred".