4000363640017 has 2 divisors, whose sum is σ = 4000363640018. Its totient is φ = 4000363640016.

The previous prime is 4000363640011. The next prime is 4000363640027. The reversal of 4000363640017 is 7100463630004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3982263704721 + 18099935296 = 1995561^2 + 134536^2 .

It is a cyclic number.

It is not a de Polignac number, because 4000363640017 - 2¹⁹ = 4000363115729 is a prime.

It is not a weakly prime, because it can be changed into another prime (4000363640011) 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 as a sum of consecutive naturals, namely, 2000181820008 + 2000181820009.

It is an arithmetic number, because the mean of its divisors is an integer number (2000181820009).

Almost surely, 2^{4000363640017} is an apocalyptic number.

It is an amenable number.

4000363640017 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000363640017 is an equidigital number, since it uses as much as digits as its factorization.

4000363640017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 34.

The spelling of 4000363640017 in words is "four trillion, three hundred sixty-three million, six hundred forty thousand, seventeen".