44122033022144 has 56 divisors (see below), whose sum is σ = 109159055735808. Its totient is φ = 17190402474240.

The previous prime is 44122033022143. The next prime is 44122033022183.

It is a happy number.

44122033022144 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 44122033022144.

It is not an unprimeable number, because it can be changed into a prime (44122033022143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4476662384 + ... + 4476672239.

Almost surely, 2^{44122033022144} is an apocalyptic number.

44122033022144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44122033022144 is an abundant number, since it is smaller than the sum of its proper divisors (65037022713664).

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

44122033022144 is a wasteful number, since it uses less digits than its factorization.

44122033022144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8953334653 (or 8953334643 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 4412203 and 3022144, that added together give a palindrome (7434347).

The spelling of 44122033022144 in words is "forty-four trillion, one hundred twenty-two billion, thirty-three million, twenty-two thousand, one hundred forty-four".