432705052753920 has 720 divisors, whose sum is σ = 1565473195261248. Its totient is φ = 114652230451200.

The previous prime is 432705052753891. The next prime is 432705052753931. The reversal of 432705052753920 is 29357250507234.

432705052753920 is a `hidden beast` number, since 4 + 3 + 2 + 7 + 0 + 50 + 52 + 7 + 539 + 2 + 0 = 666.

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

It is a super-3 number, since 3×432705052753920³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3125260695 + ... + 3125399145.

Almost surely, 2^{432705052753920} is an apocalyptic number.

432705052753920 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 432705052753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782736597630624).

432705052753920 is an abundant number, since it is smaller than the sum of its proper divisors (1132768142507328).

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

432705052753920 is an equidigital number, since it uses as much as digits as its factorization.

432705052753920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138656 (or 138618 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 54.

The spelling of 432705052753920 in words is "four hundred thirty-two trillion, seven hundred five billion, fifty-two million, seven hundred fifty-three thousand, nine hundred twenty".