22400709120 has 480 divisors, whose sum is σ = 81300510720. Its totient is φ = 5693276160.

The previous prime is 22400709113. The next prime is 22400709131. The reversal of 22400709120 is 2190700422.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56424762 + ... + 56425158.

It is an arithmetic number, because the mean of its divisors is an integer number (169376064).

Almost surely, 2^22400709120 is an apocalyptic number.

22400709120 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 22400709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40650255360).

22400709120 is an abundant number, since it is smaller than the sum of its proper divisors (58899801600).

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

22400709120 is a wasteful number, since it uses less digits than its factorization.

22400709120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 22400709120 in words is "twenty-two billion, four hundred million, seven hundred nine thousand, one hundred twenty".