44040411241344 has 256 divisors, whose sum is σ = 148561648704000. Its totient is φ = 12581903757312.

The previous prime is 44040411241313. The next prime is 44040411241363. The reversal of 44040411241344 is 44314211404044.

44040411241344 is a `hidden beast` number, since 4 + 4 + 0 + 404 + 1 + 1 + 241 + 3 + 4 + 4 = 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 = 44040411241299 and 44040411241308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309804267 + ... + 309946389.

It is an arithmetic number, because the mean of its divisors is an integer number (580318940250).

Almost surely, 2^{44040411241344} 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 44040411241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74280824352000).

44040411241344 is an abundant number, since it is smaller than the sum of its proper divisors (104521237462656).

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

44040411241344 is a wasteful number, since it uses less digits than its factorization.

44040411241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154962 (or 154944 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 44040411241344 its reverse (44314211404044), we get a palindrome (88354622645388).

The spelling of 44040411241344 in words is "forty-four trillion, forty billion, four hundred eleven million, two hundred forty-one thousand, three hundred forty-four".