440310323013044 has 36 divisors (see below), whose sum is σ = 855346307556804. Its totient is φ = 198159461280000.

The previous prime is 440310323013031. The next prime is 440310323013047.

440310323013044 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 403134597116944 + 37175725896100 = 20078212^2 + 6097190^2 .

It is a super-2 number, since 2×440310323013044² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 440310323013044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440310323013047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4503575237 + ... + 4503673004.

Almost surely, 2^{440310323013044} is an apocalyptic number.

440310323013044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

440310323013044 is a deficient number, since it is larger than the sum of its proper divisors (415035984543760).

440310323013044 is a wasteful number, since it uses less digits than its factorization.

440310323013044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9007248368 (or 9007248355 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

The spelling of 440310323013044 in words is "four hundred forty trillion, three hundred ten billion, three hundred twenty-three million, thirteen thousand, forty-four".