422433222334224 has 80 divisors (see below), whose sum is σ = 1102383246706560. Its totient is φ = 139379888972800.

The previous prime is 422433222334181. The next prime is 422433222334267.

422433222334224 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (422433222334181) and next prime (422433222334267).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6696772 + ... + 29828060.

It is an arithmetic number, because the mean of its divisors is an integer number (13779790583832).

Almost surely, 2^{422433222334224} 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 422433222334224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551191623353280).

422433222334224 is an abundant number, since it is smaller than the sum of its proper divisors (679950024372336).

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

422433222334224 is a wasteful number, since it uses less digits than its factorization.

422433222334224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23135168 (or 23135162 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 42.

The spelling of 422433222334224 in words is "four hundred twenty-two trillion, four hundred thirty-three billion, two hundred twenty-two million, three hundred thirty-four thousand, two hundred twenty-four".