432000640263096 has 160 divisors (see below), whose sum is σ = 1249162533590400. Its totient is φ = 139340716922880.

The previous prime is 432000640263019. The next prime is 432000640263109. The reversal of 432000640263096 is 690362046000234.

432000640263096 is a `hidden beast` number, since 4 + 3 + 2 + 0 + 0 + 0 + 6 + 4 + 0 + 2 + 630 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 195138976 + ... + 197340368.

It is an arithmetic number, because the mean of its divisors is an integer number (7807265834940).

Almost surely, 2^{432000640263096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432000640263096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624581266795200).

432000640263096 is an abundant number, since it is smaller than the sum of its proper divisors (817161893327304).

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

432000640263096 is a wasteful number, since it uses less digits than its factorization.

432000640263096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211211 (or 2211198 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 432000640263096 in words is "four hundred thirty-two trillion, six hundred forty million, two hundred sixty-three thousand, ninety-six".