432112000344 has 64 divisors (see below), whose sum is σ = 1111270540800. Its totient is φ = 139917849984.

The previous prime is 432112000343. The next prime is 432112000351. The reversal of 432112000344 is 443000211234.

It is a super-2 number, since 2×432112000344² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432112000343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156609 + ... + 942735.

It is an arithmetic number, because the mean of its divisors is an integer number (17363602200).

Almost surely, 2^432112000344 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 432112000344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555635270400).

432112000344 is an abundant number, since it is smaller than the sum of its proper divisors (679158540456).

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

432112000344 is a wasteful number, since it uses less digits than its factorization.

432112000344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786792 (or 786788 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 432112000344 its reverse (443000211234), we get a palindrome (875112211578).

The spelling of 432112000344 in words is "four hundred thirty-two billion, one hundred twelve million, three hundred forty-four", and thus it is an aban number.