422314413224 has 64 divisors (see below), whose sum is σ = 874761465600. Its totient is φ = 189541152000.

The previous prime is 422314413193. The next prime is 422314413233.

It is a happy number.

422314413224 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3197162 + ... + 3326630.

It is an arithmetic number, because the mean of its divisors is an integer number (13668147900).

Almost surely, 2^422314413224 is an apocalyptic number.

422314413224 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 422314413224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437380732800).

422314413224 is an abundant number, since it is smaller than the sum of its proper divisors (452447052376).

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

422314413224 is a wasteful number, since it uses less digits than its factorization.

422314413224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129954 (or 129950 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

It can be divided in two parts, 422314 and 413224, that added together give a palindrome (835538).

The spelling of 422314413224 in words is "four hundred twenty-two billion, three hundred fourteen million, four hundred thirteen thousand, two hundred twenty-four".