22413134400444 has 72 divisors (see below), whose sum is σ = 56898233054208. Its totient is φ = 7439084190720.

The previous prime is 22413134400389. The next prime is 22413134400467. The reversal of 22413134400444 is 44400443131422.

22413134400444 is a `hidden beast` number, since 2 + 2 + 41 + 3 + 134 + 40 + 0 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22413134400399 and 22413134400408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8018629 + ... + 10446275.

It is an arithmetic number, because the mean of its divisors is an integer number (790253236864).

Almost surely, 2^{22413134400444} is an apocalyptic number.

It is an amenable number.

22413134400444 is an abundant number, since it is smaller than the sum of its proper divisors (34485098653764).

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

22413134400444 is a wasteful number, since it uses less digits than its factorization.

22413134400444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428755 (or 2428750 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 22413134400444 its reverse (44400443131422), we get a palindrome (66813577531866).

The spelling of 22413134400444 in words is "twenty-two trillion, four hundred thirteen billion, one hundred thirty-four million, four hundred thousand, four hundred forty-four".