432486588640 has 96 divisors (see below), whose sum is σ = 1050408868320. Its totient is φ = 168151578624.

The previous prime is 432486588619. The next prime is 432486588659. The reversal of 432486588640 is 46885684234.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5996634 + ... + 6068326.

It is an arithmetic number, because the mean of its divisors is an integer number (10941759045).

Almost surely, 2^432486588640 is an apocalyptic number.

432486588640 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 432486588640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525204434160).

432486588640 is an abundant number, since it is smaller than the sum of its proper divisors (617922279680).

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

432486588640 is a wasteful number, since it uses less digits than its factorization.

432486588640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72764 (or 72756 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 58.

The spelling of 432486588640 in words is "four hundred thirty-two billion, four hundred eighty-six million, five hundred eighty-eight thousand, six hundred forty".