22042544304000 has 512 divisors, whose sum is σ = 79738535185920. Its totient is φ = 5341992960000.

The previous prime is 22042544303993. The next prime is 22042544304023. The reversal of 22042544304000 is 40344524022.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 3358604719 + ... + 3358611281.

It is an arithmetic number, because the mean of its divisors is an integer number (155739326535).

Almost surely, 2^{22042544304000} is an apocalyptic number.

22042544304000 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 22042544304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39869267592960).

22042544304000 is an abundant number, since it is smaller than the sum of its proper divisors (57695990881920).

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

22042544304000 is a wasteful number, since it uses less digits than its factorization.

22042544304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12967 (or 12945 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 22042544304000 its reverse (40344524022), we get a palindrome (22082888828022).

The spelling of 22042544304000 in words is "twenty-two trillion, forty-two billion, five hundred forty-four million, three hundred four thousand".