422322122400 has 72 divisors (see below), whose sum is σ = 1374658516224. Its totient is φ = 112619232000.

The previous prime is 422322122389. The next prime is 422322122501. The reversal of 422322122400 is 4221223224.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87981376 + ... + 87986175.

It is an arithmetic number, because the mean of its divisors is an integer number (19092479392).

Almost surely, 2^422322122400 is an apocalyptic number.

422322122400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422322122400 is an abundant number, since it is smaller than the sum of its proper divisors (952336393824).

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

422322122400 is a wasteful number, since it uses less digits than its factorization.

422322122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175967574 (or 175967561 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 422322122400 its reverse (4221223224), we get a palindrome (426543345624).

The spelling of 422322122400 in words is "four hundred twenty-two billion, three hundred twenty-two million, one hundred twenty-two thousand, four hundred".