44210172121344 has 144 divisors (see below), whose sum is σ = 130789167512640. Its totient is φ = 14730872647680.

The previous prime is 44210172121327. The next prime is 44210172121387. The reversal of 44210172121344 is 44312127101244.

44210172121344 is a `hidden beast` number, since 4 + 4 + 21 + 0 + 172 + 121 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 44210172121299 and 44210172121308.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16156579 + ... + 18693725.

Almost surely, 2^{44210172121344} 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 44210172121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65394583756320).

44210172121344 is an abundant number, since it is smaller than the sum of its proper divisors (86578995391296).

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

44210172121344 is a wasteful number, since it uses less digits than its factorization.

44210172121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2539693 (or 2539673 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 44210172121344 its reverse (44312127101244), we get a palindrome (88522299222588).

The spelling of 44210172121344 in words is "forty-four trillion, two hundred ten billion, one hundred seventy-two million, one hundred twenty-one thousand, three hundred forty-four".