432094978560 has 320 divisors, whose sum is σ = 1671557513472. Its totient is φ = 92954689536.

The previous prime is 432094978547. The next prime is 432094978571. The reversal of 432094978560 is 65879490234.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 432094978560.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677524 + ... + 1150316.

Almost surely, 2^432094978560 is an apocalyptic number.

432094978560 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 432094978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835778756736).

432094978560 is an abundant number, since it is smaller than the sum of its proper divisors (1239462534912).

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

432094978560 is a wasteful number, since it uses less digits than its factorization.

432094978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472843 (or 472827 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 432094978560 in words is "four hundred thirty-two billion, ninety-four million, nine hundred seventy-eight thousand, five hundred sixty".