41064000001 has 2 divisors, whose sum is σ = 41064000002. Its totient is φ = 41064000000.

The previous prime is 41063999989. The next prime is 41064000011. The reversal of 41064000001 is 10000046014.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34021433601 + 7042566400 = 184449^2 + 83920^2 .

It is a cyclic number.

It is not a de Polignac number, because 41064000001 - 2²⁵ = 41030445569 is a prime.

It is not a weakly prime, because it can be changed into another prime (41064000011) 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, 20532000000 + 20532000001.

It is an arithmetic number, because the mean of its divisors is an integer number (20532000001).

Almost surely, 2^41064000001 is an apocalyptic number.

41064000001 is the 90625-th centered decagonal number.

It is an amenable number.

41064000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

41064000001 is an equidigital number, since it uses as much as digits as its factorization.

41064000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 41064000001 its reverse (10000046014), we get a palindrome (51064046015).

The spelling of 41064000001 in words is "forty-one billion, sixty-four million, one", and thus it is an aban number.