422424424224 has 216 divisors, whose sum is σ = 1365938044380. Its totient is φ = 123593057280.

The previous prime is 422424424211. The next prime is 422424424241.

422424424224 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 2 + 4 + 424 + 224 = 666.

422424424224 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 409687044624 + 12737379600 = 640068^2 + 112860^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 801594 + ... + 1219590.

Almost surely, 2^422424424224 is an apocalyptic number.

422424424224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422424424224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682969022190).

422424424224 is an abundant number, since it is smaller than the sum of its proper divisors (943513620156).

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

422424424224 is a wasteful number, since it uses less digits than its factorization.

422424424224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418064 (or 418042 counting only the distinct ones).

The product of its digits is 262144, while the sum is 36.

It can be divided in two parts, 422424 and 424224, that added together give a palindrome (846648).

The spelling of 422424424224 in words is "four hundred twenty-two billion, four hundred twenty-four million, four hundred twenty-four thousand, two hundred twenty-four".