22401420400044 has 288 divisors, whose sum is σ = 65418941952000. Its totient is φ = 6331226595840.

The previous prime is 22401420400033. The next prime is 22401420400067. The reversal of 22401420400044 is 44000402410422.

22401420400044 is a `hidden beast` number, since 2 + 240 + 14 + 2 + 0 + 400 + 0 + 4 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22401420399990 and 22401420400017.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11600941759 + ... + 11600943689.

It is an arithmetic number, because the mean of its divisors is an integer number (227149104000).

Almost surely, 2^{22401420400044} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22401420400044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32709470976000).

22401420400044 is an abundant number, since it is smaller than the sum of its proper divisors (43017521551956).

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

22401420400044 is a wasteful number, since it uses less digits than its factorization.

22401420400044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3213 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 22401420400044 its reverse (44000402410422), we get a palindrome (66401822810466).

The spelling of 22401420400044 in words is "twenty-two trillion, four hundred one billion, four hundred twenty million, four hundred thousand, forty-four".