22104100440 has 192 divisors, whose sum is σ = 76325371200. Its totient is φ = 5537258496.

The previous prime is 22104100409. The next prime is 22104100453. The reversal of 22104100440 is 4400140122.

22104100440 is a `hidden beast` number, since 2 + 210 + 4 + 10 + 0 + 440 = 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 47 ways as a sum of consecutive naturals, for example, 357669 + ... + 414891.

It is an arithmetic number, because the mean of its divisors is an integer number (397527975).

Almost surely, 2^22104100440 is an apocalyptic number.

22104100440 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 22104100440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38162685600).

22104100440 is an abundant number, since it is smaller than the sum of its proper divisors (54221270760).

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

22104100440 is a wasteful number, since it uses less digits than its factorization.

22104100440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57306 (or 57299 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22104100440 its reverse (4400140122), we get a palindrome (26504240562).

The spelling of 22104100440 in words is "twenty-two billion, one hundred four million, one hundred thousand, four hundred forty".