22041034404144 has 240 divisors, whose sum is σ = 66813882030720. Its totient is φ = 6242558300160.

The previous prime is 22041034404101. The next prime is 22041034404167. The reversal of 22041034404144 is 44140443014022.

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 47 ways as a sum of consecutive naturals, for example, 286197547 + ... + 286274549.

It is an arithmetic number, because the mean of its divisors is an integer number (278391175128).

Almost surely, 2^{22041034404144} is an apocalyptic number.

22041034404144 is a gapful number since it is divisible by the number (24) 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 22041034404144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33406941015360).

22041034404144 is an abundant number, since it is smaller than the sum of its proper divisors (44772847626576).

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

22041034404144 is a wasteful number, since it uses less digits than its factorization.

22041034404144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78088 (or 78075 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 22041034404144 its reverse (44140443014022), we get a palindrome (66181477418166).

The spelling of 22041034404144 in words is "twenty-two trillion, forty-one billion, thirty-four million, four hundred four thousand, one hundred forty-four".