432579813120 has 3456 divisors, whose sum is σ = 2159908208640. Its totient is φ = 80263249920.

The previous prime is 432579813067. The next prime is 432579813161. The reversal of 432579813120 is 21318975234.

It is a happy number.

432579813120 is a `hidden beast` number, since 4 + 3 + 257 + 9 + 81 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 383 ways as a sum of consecutive naturals, for example, 13954187505 + ... + 13954187535.

It is an arithmetic number, because the mean of its divisors is an integer number (624973440).

Almost surely, 2^432579813120 is an apocalyptic number.

432579813120 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 432579813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079954104320).

432579813120 is an abundant number, since it is smaller than the sum of its proper divisors (1727328395520).

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

432579813120 is a wasteful number, since it uses less digits than its factorization.

432579813120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 432579813120 in words is "four hundred thirty-two billion, five hundred seventy-nine million, eight hundred thirteen thousand, one hundred twenty".