4100042118017 has 2 divisors, whose sum is σ = 4100042118018. Its totient is φ = 4100042118016.

The previous prime is 4100042118013. The next prime is 4100042118061. The reversal of 4100042118017 is 7108112400014.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4060511135041 + 39530982976 = 2015071^2 + 198824^2 .

It is a cyclic number.

It is not a de Polignac number, because 4100042118017 - 2² = 4100042118013 is a prime.

It is not a weakly prime, because it can be changed into another prime (4100042118013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2050021059008 + 2050021059009.

It is an arithmetic number, because the mean of its divisors is an integer number (2050021059009).

Almost surely, 2^{4100042118017} is an apocalyptic number.

It is an amenable number.

4100042118017 is a deficient number, since it is larger than the sum of its proper divisors (1).

4100042118017 is an equidigital number, since it uses as much as digits as its factorization.

4100042118017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1792, while the sum is 29.

The spelling of 4100042118017 in words is "four trillion, one hundred billion, forty-two million, one hundred eighteen thousand, seventeen".