22340891409960 has 256 divisors, whose sum is σ = 68539685760000. Its totient is φ = 5823920424960.

The previous prime is 22340891409959. The next prime is 22340891410037. The reversal of 22340891409960 is 6990419804322.

It is a self number, because there is not a number n which added to its sum of digits gives 22340891409960.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1337849691 + ... + 1337866389.

It is an arithmetic number, because the mean of its divisors is an integer number (267733147500).

Almost surely, 2^{22340891409960} is an apocalyptic number.

22340891409960 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 22340891409960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34269842880000).

22340891409960 is an abundant number, since it is smaller than the sum of its proper divisors (46198794350040).

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

22340891409960 is a wasteful number, since it uses less digits than its factorization.

22340891409960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17816 (or 17812 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 22340891409960 in words is "twenty-two trillion, three hundred forty billion, eight hundred ninety-one million, four hundred nine thousand, nine hundred sixty".