3144400044413 has 16 divisors (see below), whose sum is σ = 3233114227200. Its totient is φ = 3056947821360.

The previous prime is 3144400044389. The next prime is 3144400044419.

3144400044413 is nontrivially palindromic in base 10.

3144400044413 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3144400044413 - 2⁶ = 3144400044349 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3144400044413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144400044419) 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, 4140818 + ... + 4840988.

It is an arithmetic number, because the mean of its divisors is an integer number (202069639200).

Almost surely, 2^{3144400044413} is an apocalyptic number.

It is an amenable number.

3144400044413 is a deficient number, since it is larger than the sum of its proper divisors (88714182787).

3144400044413 is a wasteful number, since it uses less digits than its factorization.

3144400044413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701072.

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 31444000 and 44413, that added together give a palindrome (31488413).

The spelling of 3144400044413 in words is "three trillion, one hundred forty-four billion, four hundred million, forty-four thousand, four hundred thirteen".