422314242413224 has 64 divisors (see below), whose sum is σ = 913255896960000. Its totient is φ = 179333468611584.

The previous prime is 422314242413207. The next prime is 422314242413233.

422314242413224 is nontrivially palindromic in base 10.

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, 9504402 + ... + 30577150.

It is an arithmetic number, because the mean of its divisors is an integer number (14269623390000).

Almost surely, 2^{422314242413224} 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 422314242413224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456627948480000).

422314242413224 is an abundant number, since it is smaller than the sum of its proper divisors (490941654546776).

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

422314242413224 is a wasteful number, since it uses less digits than its factorization.

422314242413224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21076042 (or 21076038 counting only the distinct ones).

The product of its digits is 589824, while the sum is 40.

The spelling of 422314242413224 in words is "four hundred twenty-two trillion, three hundred fourteen billion, two hundred forty-two million, four hundred thirteen thousand, two hundred twenty-four".