432022234224 has 320 divisors, whose sum is σ = 1361272872960. Its totient is φ = 115458048000.

The previous prime is 432022234219. The next prime is 432022234261. The reversal of 432022234224 is 422432220234.

It is a junction number, because it is equal to n+sod(n) for n = 432022234191 and 432022234200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46544464 + ... + 46553744.

It is an arithmetic number, because the mean of its divisors is an integer number (4253977728).

Almost surely, 2^432022234224 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 432022234224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680636436480).

432022234224 is an abundant number, since it is smaller than the sum of its proper divisors (929250638736).

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

432022234224 is a wasteful number, since it uses less digits than its factorization.

432022234224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9480 (or 9474 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 432022234224 its reverse (422432220234), we get a palindrome (854454454458).

The spelling of 432022234224 in words is "four hundred thirty-two billion, twenty-two million, two hundred thirty-four thousand, two hundred twenty-four".