4065041009 has 2 divisors, whose sum is σ = 4065041010. Its totient is φ = 4065041008.

The previous prime is 4065040963. The next prime is 4065041023. The reversal of 4065041009 is 9001405604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4061257984 + 3783025 = 63728^2 + 1945^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4065041009 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (4065041509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2032520504 + 2032520505.

It is an arithmetic number, because the mean of its divisors is an integer number (2032520505).

Almost surely, 2^4065041009 is an apocalyptic number.

It is an amenable number.

4065041009 is a deficient number, since it is larger than the sum of its proper divisors (1).

4065041009 is an equidigital number, since it uses as much as digits as its factorization.

4065041009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 4065041009 is about 63757.6741184934. The cubic root of 4065041009 is about 1595.9586823191.

The spelling of 4065041009 in words is "four billion, sixty-five million, forty-one thousand, nine".