432001344006500 has 144 divisors (see below), whose sum is σ = 967151718296400. Its totient is φ = 168570630144000.

The previous prime is 432001344006389. The next prime is 432001344006521. The reversal of 432001344006500 is 5600443100234.

It can be written as a sum of positive squares in 24 ways, for example, as 413711369290816 + 18289974715684 = 20339896^2 + 4276678^2 .

It is a super-2 number, since 2×432001344006500² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15170170262 + ... + 15170198738.

Almost surely, 2^{432001344006500} 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 432001344006500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483575859148200).

432001344006500 is an abundant number, since it is smaller than the sum of its proper divisors (535150374289900).

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

432001344006500 is a wasteful number, since it uses less digits than its factorization.

432001344006500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46627 (or 46574 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 432001344006500 its reverse (5600443100234), we get a palindrome (437601787106734).

The spelling of 432001344006500 in words is "four hundred thirty-two trillion, one billion, three hundred forty-four million, six thousand, five hundred".