432349274880 has 432 divisors, whose sum is σ = 1563626151360. Its totient is φ = 110089469952.

The previous prime is 432349274837. The next prime is 432349274899. The reversal of 432349274880 is 88472943234.

432349274880 is a `hidden beast` number, since 4 + 3 + 2 + 3 + 492 + 74 + 8 + 80 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214351632 + ... + 214353648.

It is an arithmetic number, because the mean of its divisors is an integer number (3619504980).

Almost surely, 2^432349274880 is an apocalyptic number.

432349274880 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 432349274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781813075680).

432349274880 is an abundant number, since it is smaller than the sum of its proper divisors (1131276876480).

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

432349274880 is a wasteful number, since it uses less digits than its factorization.

432349274880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 432349274880 in words is "four hundred thirty-two billion, three hundred forty-nine million, two hundred seventy-four thousand, eight hundred eighty".