22042064064400 has 120 divisors (see below), whose sum is σ = 54471388161600. Its totient is φ = 8565270382080.

The previous prime is 22042064064347. The next prime is 22042064064403. The reversal of 22042064064400 is 446046024022.

It is a super-2 number, since 2×22042064064400² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22042064064403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8424651 + ... + 10726549.

It is an arithmetic number, because the mean of its divisors is an integer number (453928234680).

Almost surely, 2^{22042064064400} is an apocalyptic number.

22042064064400 is a gapful number since it is divisible by the number (20) 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 22042064064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27235694080800).

22042064064400 is an abundant number, since it is smaller than the sum of its proper divisors (32429324097200).

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

22042064064400 is a wasteful number, since it uses less digits than its factorization.

22042064064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302601 (or 2302590 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

The spelling of 22042064064400 in words is "twenty-two trillion, forty-two billion, sixty-four million, sixty-four thousand, four hundred".