22100014400 has 168 divisors, whose sum is σ = 55410786816. Its totient is φ = 8674099200.

The previous prime is 22100014373. The next prime is 22100014429. The reversal of 22100014400 is 441000122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20330657 + ... + 20331743.

It is an arithmetic number, because the mean of its divisors is an integer number (329826112).

Almost surely, 2^22100014400 is an apocalyptic number.

22100014400 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 22100014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27705393408).

22100014400 is an abundant number, since it is smaller than the sum of its proper divisors (33310772416).

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

22100014400 is a wasteful number, since it uses less digits than its factorization.

22100014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22100014400 its reverse (441000122), we get a palindrome (22541014522).

The spelling of 22100014400 in words is "twenty-two billion, one hundred million, fourteen thousand, four hundred".