432116665200 has 360 divisors, whose sum is σ = 1670702282496. Its totient is φ = 102526272000.

The previous prime is 432116665199. The next prime is 432116665207. The reversal of 432116665200 is 2566611234.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432116665207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1745115 + ... + 1977285.

Almost surely, 2^432116665200 is an apocalyptic number.

432116665200 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 432116665200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835351141248).

432116665200 is an abundant number, since it is smaller than the sum of its proper divisors (1238585617296).

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

432116665200 is a wasteful number, since it uses less digits than its factorization.

432116665200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232253 (or 232239 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 432116665200 in words is "four hundred thirty-two billion, one hundred sixteen million, six hundred sixty-five thousand, two hundred".