432132276160 has 224 divisors, whose sum is σ = 1118203373952. Its totient is φ = 158117806080.

The previous prime is 432132276151. The next prime is 432132276161. The reversal of 432132276160 is 61672231234.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432132276161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353337309 + ... + 353338531.

It is an arithmetic number, because the mean of its divisors is an integer number (4991979348).

Almost surely, 2^432132276160 is an apocalyptic number.

432132276160 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 432132276160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559101686976).

432132276160 is an abundant number, since it is smaller than the sum of its proper divisors (686071097792).

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

432132276160 is a wasteful number, since it uses less digits than its factorization.

432132276160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 432132276160 in words is "four hundred thirty-two billion, one hundred thirty-two million, two hundred seventy-six thousand, one hundred sixty".