422422224224 has 192 divisors, whose sum is σ = 1118178432000. Its totient is φ = 151707064320.

The previous prime is 422422224221. The next prime is 422422224241.

422422224224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 (422422224221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23790902 + ... + 23808650.

It is an arithmetic number, because the mean of its divisors is an integer number (5823846000).

Almost surely, 2^422422224224 is an apocalyptic number.

422422224224 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 422422224224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559089216000).

422422224224 is an abundant number, since it is smaller than the sum of its proper divisors (695756207776).

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

422422224224 is a wasteful number, since it uses less digits than its factorization.

422422224224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18533 (or 18525 counting only the distinct ones).

The product of its digits is 65536, while the sum is 32.

It can be divided in two parts, 422422 and 224224, that added together give a palindrome (646646).

The spelling of 422422224224 in words is "four hundred twenty-two billion, four hundred twenty-two million, two hundred twenty-four thousand, two hundred twenty-four".