422421124224 has 64 divisors (see below), whose sum is σ = 1224061224480. Its totient is φ = 128006400000.

The previous prime is 422421124211. The next prime is 422421124241.

422421124224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a junction number, because it is equal to n+sod(n) for n = 422421124191 and 422421124200.

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, 49998277 + ... + 50006724.

Almost surely, 2^422421124224 is an apocalyptic number.

422421124224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

422421124224 is an abundant number, since it is smaller than the sum of its proper divisors (801640100256).

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

422421124224 is a wasteful number, since it uses less digits than its factorization.

422421124224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100005029 (or 100005017 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

It can be divided in two parts, 422421 and 124224, that added together give a palindrome (546645).

The spelling of 422421124224 in words is "four hundred twenty-two billion, four hundred twenty-one million, one hundred twenty-four thousand, two hundred twenty-four".