422331133224 has 768 divisors, whose sum is σ = 1499800780800. Its totient is φ = 96320378880.

The previous prime is 422331133207. The next prime is 422331133249.

It is a happy number.

422331133224 is nontrivially palindromic in base 10.

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 = 422331133191 and 422331133200.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 459554637 + ... + 459555555.

It is an arithmetic number, because the mean of its divisors is an integer number (1952865600).

Almost surely, 2^422331133224 is an apocalyptic number.

422331133224 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 422331133224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749900390400).

422331133224 is an abundant number, since it is smaller than the sum of its proper divisors (1077469647576).

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

422331133224 is a wasteful number, since it uses less digits than its factorization.

422331133224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1039 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 422331 and 133224, that added together give a palindrome (555555).

The spelling of 422331133224 in words is "four hundred twenty-two billion, three hundred thirty-one million, one hundred thirty-three thousand, two hundred twenty-four".