22422334440000 has 560 divisors, whose sum is σ = 81137771801856. Its totient is φ = 5417913600000.

The previous prime is 22422334439993. The next prime is 22422334440019. The reversal of 22422334440000 is 4443322422.

It is a super-2 number, since 2×22422334440000² (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22422334440000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 405212335 + ... + 405267665.

Almost surely, 2^{22422334440000} is an apocalyptic number.

22422334440000 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 22422334440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40568885900928).

22422334440000 is an abundant number, since it is smaller than the sum of its proper divisors (58715437361856).

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

22422334440000 is a wasteful number, since it uses less digits than its factorization.

22422334440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55684 (or 55659 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 22422334440000 its reverse (4443322422), we get a palindrome (22426777762422).

The spelling of 22422334440000 in words is "twenty-two trillion, four hundred twenty-two billion, three hundred thirty-four million, four hundred forty thousand".