432595712640 has 512 divisors, whose sum is σ = 1699452518400. Its totient is φ = 91146829824.

The previous prime is 432595712561. The next prime is 432595712687. The reversal of 432595712640 is 46217595234.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 432595712640.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181532889 + ... + 181535271.

It is an arithmetic number, because the mean of its divisors is an integer number (3319243200).

Almost surely, 2^432595712640 is an apocalyptic number.

432595712640 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 432595712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849726259200).

432595712640 is an abundant number, since it is smaller than the sum of its proper divisors (1266856805760).

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

432595712640 is a wasteful number, since it uses less digits than its factorization.

432595712640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3464 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 432595712640 in words is "four hundred thirty-two billion, five hundred ninety-five million, seven hundred twelve thousand, six hundred forty".