432831208134 has 128 divisors (see below), whose sum is σ = 992791296000. Its totient is φ = 124623028224.

The previous prime is 432831208133. The next prime is 432831208153. The reversal of 432831208134 is 431802138234.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 432831208092 and 432831208101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432831208133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216522867 + ... + 216524865.

It is an arithmetic number, because the mean of its divisors is an integer number (7756182000).

Almost surely, 2^432831208134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432831208134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496395648000).

432831208134 is an abundant number, since it is smaller than the sum of its proper divisors (559960087866).

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

432831208134 is a wasteful number, since it uses less digits than its factorization.

432831208134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2894.

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 432831208134 in words is "four hundred thirty-two billion, eight hundred thirty-one million, two hundred eight thousand, one hundred thirty-four".