422424222424224 has 96 divisors (see below), whose sum is σ = 1109730955919040. Its totient is φ = 140697959872512.

The previous prime is 422424222424201. The next prime is 422424222424229.

422424222424224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (422424222424229) 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, 975532627 + ... + 975965549.

It is an arithmetic number, because the mean of its divisors is an integer number (11559697457490).

Almost surely, 2^{422424222424224} is an apocalyptic number.

It is an amenable number.

422424222424224 is an abundant number, since it is smaller than the sum of its proper divisors (687306733494816).

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

422424222424224 is a wasteful number, since it uses less digits than its factorization.

422424222424224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440862 (or 440854 counting only the distinct ones).

The product of its digits is 2097152, while the sum is 42.

The spelling of 422424222424224 in words is "four hundred twenty-two trillion, four hundred twenty-four billion, two hundred twenty-two million, four hundred twenty-four thousand, two hundred twenty-four".