4106365857889 has 27 divisors (see below), whose sum is σ = 4391487394707. Its totient is φ = 3838974055488.

The previous prime is 4106365857877. The next prime is 4106365857899. The reversal of 4106365857889 is 9887585636014.

The square root of 4106365857889 is 2026417.

It is a perfect power (a square), and thus also a powerful number.

4106365857889 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 only one way, i.e., 3196997640225 + 909368217664 = 1788015^2 + 953608^2 .

It is not a de Polignac number, because 4106365857889 - 2²⁵ = 4106332303457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4106365857859) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6855368412 + ... + 6855369010.

Almost surely, 2^{4106365857889} is an apocalyptic number.

4106365857889 is the 2026417-th square number.

4106365857889 is the 1013209-th centered octagonal number.

It is an amenable number.

4106365857889 is a deficient number, since it is larger than the sum of its proper divisors (285121536818).

4106365857889 is an frugal number, since it uses more digits than its factorization.

4106365857889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 70.

The spelling of 4106365857889 in words is "four trillion, one hundred six billion, three hundred sixty-five million, eight hundred fifty-seven thousand, eight hundred eighty-nine".