432599056128 has 720 divisors, whose sum is σ = 1382293836000. Its totient is φ = 134341853184.

The previous prime is 432599056111. The next prime is 432599056129. The reversal of 432599056128 is 821650995234.

432599056128 is a `hidden beast` number, since 4 + 3 + 2 + 59 + 9 + 0 + 561 + 28 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432599056129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3157657276 + ... + 3157657412.

It is an arithmetic number, because the mean of its divisors is an integer number (1919852550).

Almost surely, 2^432599056128 is an apocalyptic number.

432599056128 is a gapful number since it is divisible by the number (48) 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 432599056128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691146918000).

432599056128 is an abundant number, since it is smaller than the sum of its proper divisors (949694779872).

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

432599056128 is a wasteful number, since it uses less digits than its factorization.

432599056128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 432599056128 in words is "four hundred thirty-two billion, five hundred ninety-nine million, fifty-six thousand, one hundred twenty-eight".