22205643443040 has 192 divisors, whose sum is σ = 71315846110656. Its totient is φ = 5806627356672.

The previous prime is 22205643442877. The next prime is 22205643443051. The reversal of 22205643443040 is 4034434650222.

It is a self number, because there is not a number n which added to its sum of digits gives 22205643443040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4230352 + ... + 7893488.

It is an arithmetic number, because the mean of its divisors is an integer number (371436698493).

Almost surely, 2^{22205643443040} is an apocalyptic number.

22205643443040 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 22205643443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35657923055328).

22205643443040 is an abundant number, since it is smaller than the sum of its proper divisors (49110202667616).

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

22205643443040 is a wasteful number, since it uses less digits than its factorization.

22205643443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663401 (or 3663393 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 39.

The spelling of 22205643443040 in words is "twenty-two trillion, two hundred five billion, six hundred forty-three million, four hundred forty-three thousand, forty".