432634216140 has 72 divisors (see below), whose sum is σ = 1499798620320. Its totient is φ = 98887820544.

The previous prime is 432634216127. The next prime is 432634216193. The reversal of 432634216140 is 41612436234.

432634216140 is a `hidden beast` number, since 4 + 3 + 2 + 6 + 34 + 2 + 1 + 614 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 432634216095 and 432634216104.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 171678985 + ... + 171681504.

Almost surely, 2^432634216140 is an apocalyptic number.

It is an amenable number.

432634216140 is an abundant number, since it is smaller than the sum of its proper divisors (1067164404180).

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

432634216140 is a wasteful number, since it uses less digits than its factorization.

432634216140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343360511 (or 343360506 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 432634216140 in words is "four hundred thirty-two billion, six hundred thirty-four million, two hundred sixteen thousand, one hundred forty".