440313141313044 has 18 divisors (see below), whose sum is σ = 1113013773874730. Its totient is φ = 146771047104336.

The previous prime is 440313141313007. The next prime is 440313141313057.

440313141313044 is a `hidden beast` number, since 4 + 4 + 0 + 3 + 1 + 314 + 1 + 31 + 304 + 4 = 666.

440313141313044 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 400381610973444 + 39931530339600 = 20009538^2 + 6319140^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 12230920592029 = 440313141313044 / (4 + 4 + 0 + 3 + 1 + 3 + 1 + 4 + 1 + 3 + 1 + 3 + 0 + 4 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6115460295979 + ... + 6115460296050.

Almost surely, 2^{440313141313044} is an apocalyptic number.

It is an amenable number.

440313141313044 is an abundant number, since it is smaller than the sum of its proper divisors (672700632561686).

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

440313141313044 is a wasteful number, since it uses less digits than its factorization.

440313141313044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12230920592039 (or 12230920592034 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 440313141313044 in words is "four hundred forty trillion, three hundred thirteen billion, one hundred forty-one million, three hundred thirteen thousand, forty-four".