422421424124224 has 56 divisors (see below), whose sum is σ = 957994294320000. Its totient is φ = 181037214552576.

The previous prime is 422421424124179. The next prime is 422421424124281.

422421424124224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173708277 + ... + 176123275.

It is an arithmetic number, because the mean of its divisors is an integer number (17107040970000).

Almost surely, 2^{422421424124224} is an apocalyptic number.

It is an amenable number.

422421424124224 is an abundant number, since it is smaller than the sum of its proper divisors (535572870195776).

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

422421424124224 is a wasteful number, since it uses less digits than its factorization.

422421424124224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2805455 (or 2805445 counting only the distinct ones).

The product of its digits is 524288, while the sum is 40.

The spelling of 422421424124224 in words is "four hundred twenty-two trillion, four hundred twenty-one billion, four hundred twenty-four million, one hundred twenty-four thousand, two hundred twenty-four".