42004086413 has 2 divisors, whose sum is σ = 42004086414. Its totient is φ = 42004086412.

The previous prime is 42004086361. The next prime is 42004086437. The reversal of 42004086413 is 31468040024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42003272809 + 813604 = 204947^2 + 902^2 .

It is a cyclic number.

It is not a de Polignac number, because 42004086413 - 2²⁰ = 42003037837 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42004086413.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42004086713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21002043206 + 21002043207.

It is an arithmetic number, because the mean of its divisors is an integer number (21002043207).

Almost surely, 2^42004086413 is an apocalyptic number.

It is an amenable number.

42004086413 is a deficient number, since it is larger than the sum of its proper divisors (1).

42004086413 is an equidigital number, since it uses as much as digits as its factorization.

42004086413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 42004086413 in words is "forty-two billion, four million, eighty-six thousand, four hundred thirteen".