22404213244000 has 768 divisors, whose sum is σ = 66699318067200. Its totient is φ = 7230263040000.

The previous prime is 22404213243953. The next prime is 22404213244013. The reversal of 22404213244000 is 44231240422.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22404213244000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21317043475 + ... + 21317044525.

It is an arithmetic number, because the mean of its divisors is an integer number (86848070400).

Almost surely, 2^{22404213244000} is an apocalyptic number.

22404213244000 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 22404213244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33349659033600).

22404213244000 is an abundant number, since it is smaller than the sum of its proper divisors (44295104823200).

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

22404213244000 is a wasteful number, since it uses less digits than its factorization.

22404213244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 22404213244000 its reverse (44231240422), we get a palindrome (22448444484422).

The spelling of 22404213244000 in words is "twenty-two trillion, four hundred four billion, two hundred thirteen million, two hundred forty-four thousand".