422436444634224 has 40 divisors (see below), whose sum is σ = 1212549054043920. Its totient is φ = 140812148211264.

The previous prime is 422436444634223. The next prime is 422436444634291.

422436444634224 is a `hidden beast` number, since 4 + 2 + 24 + 364 + 4 + 4 + 6 + 34 + 224 = 666.

422436444634224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (422436444634223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 488931069747 + ... + 488931070610.

It is an arithmetic number, because the mean of its divisors is an integer number (30313726351098).

Almost surely, 2^{422436444634224} is an apocalyptic number.

It is an amenable number.

422436444634224 is an abundant number, since it is smaller than the sum of its proper divisors (790112609409696).

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

422436444634224 is a wasteful number, since it uses less digits than its factorization.

422436444634224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977862140374 (or 977862140362 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 54.

The spelling of 422436444634224 in words is "four hundred twenty-two trillion, four hundred thirty-six billion, four hundred forty-four million, six hundred thirty-four thousand, two hundred twenty-four".