4144401164161 has 16 divisors (see below), whose sum is σ = 4220058862800. Its totient is φ = 4069438507008.

The previous prime is 4144401164081. The next prime is 4144401164179. The reversal of 4144401164161 is 1614611044414.

4144401164161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1513192754161 + 2631208410000 = 1230119^2 + 1622100^2 .

It is a cyclic number.

It is not a de Polignac number, because 4144401164161 - 2²⁵ = 4144367609729 is a prime.

It is a super-2 number, since 2×4144401164161² (a number of 26 digits) contains 22 as substring.

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 4144401164161.

It is not an unprimeable number, because it can be changed into a prime (4144401164861) 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, 99611415 + ... + 99653011.

It is an arithmetic number, because the mean of its divisors is an integer number (263753678925).

Almost surely, 2^{4144401164161} is an apocalyptic number.

It is an amenable number.

4144401164161 is a deficient number, since it is larger than the sum of its proper divisors (75657698639).

4144401164161 is a wasteful number, since it uses less digits than its factorization.

4144401164161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49908.

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 4144401164161 in words is "four trillion, one hundred forty-four billion, four hundred one million, one hundred sixty-four thousand, one hundred sixty-one".