3995917042441 has 27 divisors (see below), whose sum is σ = 4320130482741. Its totient is φ = 3695264603904.

The previous prime is 3995917042393. The next prime is 3995917042477. The reversal of 3995917042441 is 1442407195993.

The square root of 3995917042441 is 1998979.

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

3995917042441 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 4 ways, for example, as 1044118156041 + 2951798886400 = 1021821^2 + 1718080^2 .

It is not a de Polignac number, because 3995917042441 - 2²³ = 3995908653833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3995917042541) 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, 2004974941 + ... + 2004976933.

Almost surely, 2^{3995917042441} is an apocalyptic number.

3995917042441 is the 1998979-th square number.

3995917042441 is the 999490-th centered octagonal number.

It is an amenable number.

3995917042441 is a deficient number, since it is larger than the sum of its proper divisors (324213440300).

3995917042441 is an frugal number, since it uses more digits than its factorization.

3995917042441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4138 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 58.

The spelling of 3995917042441 in words is "three trillion, nine hundred ninety-five billion, nine hundred seventeen million, forty-two thousand, four hundred forty-one".