22344113013040 has 640 divisors, whose sum is σ = 68631839281152. Its totient is φ = 6572790005760.

The previous prime is 22344113013031. The next prime is 22344113013043. The reversal of 22344113013040 is 4031031144322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (22344113013043) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 847735542 + ... + 847761898.

Almost surely, 2^{22344113013040} is an apocalyptic number.

22344113013040 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 22344113013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34315919640576).

22344113013040 is an abundant number, since it is smaller than the sum of its proper divisors (46287726268112).

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

22344113013040 is a wasteful number, since it uses less digits than its factorization.

22344113013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26557 (or 26551 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 22344113013040 its reverse (4031031144322), we get a palindrome (26375144157362).

The spelling of 22344113013040 in words is "twenty-two trillion, three hundred forty-four billion, one hundred thirteen million, thirteen thousand, forty".