422674476224 has 224 divisors, whose sum is σ = 1142966447616. Its totient is φ = 149740462080.

The previous prime is 422674476193. The next prime is 422674476277.

422674476224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4243052 + ... + 4341524.

It is an arithmetic number, because the mean of its divisors is an integer number (5102528784).

Almost surely, 2^422674476224 is an apocalyptic number.

422674476224 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 422674476224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571483223808).

422674476224 is an abundant number, since it is smaller than the sum of its proper divisors (720291971392).

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

422674476224 is a wasteful number, since it uses less digits than its factorization.

422674476224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98583 (or 98573 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 50.

It can be divided in two parts, 422674 and 476224, that added together give a palindrome (898898).

The spelling of 422674476224 in words is "four hundred twenty-two billion, six hundred seventy-four million, four hundred seventy-six thousand, two hundred twenty-four".