22021106400 has 648 divisors, whose sum is σ = 86985760680. Its totient is φ = 5226577920.

The previous prime is 22021106389. The next prime is 22021106467. The reversal of 22021106400 is 460112022.

22021106400 is a `hidden beast` number, since 2 + 2 + 0 + 21 + 1 + 0 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 39534922 + ... + 39535478.

It is an arithmetic number, because the mean of its divisors is an integer number (134237285).

Almost surely, 2^22021106400 is an apocalyptic number.

22021106400 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 22021106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43492880340).

22021106400 is an abundant number, since it is smaller than the sum of its proper divisors (64964654280).

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

22021106400 is a wasteful number, since it uses less digits than its factorization.

22021106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22021106400 its reverse (460112022), we get a palindrome (22481218422).

The spelling of 22021106400 in words is "twenty-two billion, twenty-one million, one hundred six thousand, four hundred".