432113460032 has 56 divisors (see below), whose sum is σ = 885580550400. Its totient is φ = 208982062080.

The previous prime is 432113460011. The next prime is 432113460047. The reversal of 432113460032 is 230064311234.

It is a super-2 number, since 2×432113460032² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 432113459977 and 432113460004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3967844 + ... + 4075292.

It is an arithmetic number, because the mean of its divisors is an integer number (15813938400).

Almost surely, 2^432113460032 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 432113460032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442790275200).

432113460032 is an abundant number, since it is smaller than the sum of its proper divisors (453467090368).

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

432113460032 is a wasteful number, since it uses less digits than its factorization.

432113460032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109519 (or 109509 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 432113460032 its reverse (230064311234), we get a palindrome (662177771266).

The spelling of 432113460032 in words is "four hundred thirty-two billion, one hundred thirteen million, four hundred sixty thousand, thirty-two".