22400102014400 has 672 divisors, whose sum is σ = 64830620574720. Its totient is φ = 7530375168000.

The previous prime is 22400102014379. The next prime is 22400102014427. The reversal of 22400102014400 is 441020100422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5862364490 + ... + 5862368310.

It is an arithmetic number, because the mean of its divisors is an integer number (96474137760).

Almost surely, 2^{22400102014400} is an apocalyptic number.

22400102014400 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 22400102014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32415310287360).

22400102014400 is an abundant number, since it is smaller than the sum of its proper divisors (42430518560320).

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

22400102014400 is a wasteful number, since it uses less digits than its factorization.

22400102014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4293 (or 4278 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 22400102014400 its reverse (441020100422), we get a palindrome (22841122114822).

The spelling of 22400102014400 in words is "twenty-two trillion, four hundred billion, one hundred two million, fourteen thousand, four hundred".