432932290560 has 2048 divisors, whose sum is σ = 2029341081600. Its totient is φ = 84934656000.

The previous prime is 432932290523. The next prime is 432932290577. The reversal of 432932290560 is 65092239234.

432932290560 is a `hidden beast` number, since 4 + 32 + 9 + 32 + 29 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a super-2 number, since 2×432932290560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10559324140 + ... + 10559324180.

It is an arithmetic number, because the mean of its divisors is an integer number (990889200).

Almost surely, 2^432932290560 is an apocalyptic number.

432932290560 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 432932290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014670540800).

432932290560 is an abundant number, since it is smaller than the sum of its proper divisors (1596408791040).

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

432932290560 is a wasteful number, since it uses less digits than its factorization.

432932290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 432932290560 in words is "four hundred thirty-two billion, nine hundred thirty-two million, two hundred ninety thousand, five hundred sixty".