432413242344 has 128 divisors (see below), whose sum is σ = 1228398912000. Its totient is φ = 140876105472.

The previous prime is 432413242291. The next prime is 432413242363. The reversal of 432413242344 is 443242314234.

432413242344 is a `hidden beast` number, since 4 + 3 + 2 + 413 + 2 + 4 + 234 + 4 = 666.

It is a super-3 number, since 3×432413242344³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 432413242299 and 432413242308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7412362 + ... + 7470470.

It is an arithmetic number, because the mean of its divisors is an integer number (9596866500).

Almost surely, 2^432413242344 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 432413242344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614199456000).

432413242344 is an abundant number, since it is smaller than the sum of its proper divisors (795985669656).

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

432413242344 is a wasteful number, since it uses less digits than its factorization.

432413242344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58904 (or 58894 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 432413242344 its reverse (443242314234), we get a palindrome (875655556578).

The spelling of 432413242344 in words is "four hundred thirty-two billion, four hundred thirteen million, two hundred forty-two thousand, three hundred forty-four".