422242343242224 has 80 divisors (see below), whose sum is σ = 1139578601721120. Its totient is φ = 134548601420800.

The previous prime is 422242343242189. The next prime is 422242343242229.

It is a happy number.

422242343242224 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422242343242229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1501517907 + ... + 1501799090.

It is an arithmetic number, because the mean of its divisors is an integer number (14244732521514).

Almost surely, 2^{422242343242224} is an apocalyptic number.

It is an amenable number.

422242343242224 is an abundant number, since it is smaller than the sum of its proper divisors (717336258478896).

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

422242343242224 is a wasteful number, since it uses less digits than its factorization.

422242343242224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003317138 (or 3003317132 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 42.

The spelling of 422242343242224 in words is "four hundred twenty-two trillion, two hundred forty-two billion, three hundred forty-three million, two hundred forty-two thousand, two hundred twenty-four".