4069584017041 has 9 divisors (see below), whose sum is σ = 4077420213321. Its totient is φ = 4061762863524.

The previous prime is 4069584017027. The next prime is 4069584017089. The reversal of 4069584017041 is 1407104859604.

The square root of 4069584017041 is 2017321.

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

It is not a de Polignac number, because 4069584017041 - 2⁷ = 4069584016913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4069584017341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1248720070 + ... + 1248723328.

It is an arithmetic number, because the mean of its divisors is an integer number (453046690369).

Almost surely, 2^{4069584017041} is an apocalyptic number.

4069584017041 is the 2017321-st square number.

4069584017041 is the 1008661-st centered octagonal number.

It is an amenable number.

4069584017041 is a deficient number, since it is larger than the sum of its proper divisors (7836196280).

4069584017041 is an frugal number, since it uses more digits than its factorization.

4069584017041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7756 (or 3878 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

Multiplying 4069584017041 by its sum of digits (49), we get a square (199409616835009 = 14121247²).

The spelling of 4069584017041 in words is "four trillion, sixty-nine billion, five hundred eighty-four million, seventeen thousand, forty-one".