44241400022144 has 128 divisors (see below), whose sum is σ = 97492415514480. Its totient is φ = 19865172049920.

The previous prime is 44241400022143. The next prime is 44241400022147. The reversal of 44241400022144 is 44122000414244.

It can be written as a sum of positive squares in 8 ways, for example, as 7512467028544 + 36728932993600 = 2740888^2 + 6060440^2 .

It is a tau number, because it is divible by the number of its divisors (128).

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 44241400022144.

It is not an unprimeable number, because it can be changed into a prime (44241400022143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 696979592 + ... + 697043064.

Almost surely, 2^{44241400022144} 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 44241400022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48746207757240).

44241400022144 is an abundant number, since it is smaller than the sum of its proper divisors (53251015492336).

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

44241400022144 is a wasteful number, since it uses less digits than its factorization.

44241400022144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74858 (or 74846 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 44241400022144 its reverse (44122000414244), we get a palindrome (88363400436388).

The spelling of 44241400022144 in words is "forty-four trillion, two hundred forty-one billion, four hundred million, twenty-two thousand, one hundred forty-four".