40165717317493 has 2 divisors, whose sum is σ = 40165717317494. Its totient is φ = 40165717317492.

The previous prime is 40165717317491. The next prime is 40165717317529. The reversal of 40165717317493 is 39471371756104.

40165717317493 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36268121379204 + 3897595938289 = 6022302^2 + 1974233^2 .

It is a cyclic number.

It is not a de Polignac number, because 40165717317493 - 2¹ = 40165717317491 is a prime.

It is a super-2 number, since 2×40165717317493² (a number of 28 digits) contains 22 as substring.

Together with 40165717317491, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40165717317491) 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, 20082858658746 + 20082858658747.

It is an arithmetic number, because the mean of its divisors is an integer number (20082858658747).

Almost surely, 2^{40165717317493} is an apocalyptic number.

It is an amenable number.

40165717317493 is a deficient number, since it is larger than the sum of its proper divisors (1).

40165717317493 is an equidigital number, since it uses as much as digits as its factorization.

40165717317493 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13335840, while the sum is 58.

The spelling of 40165717317493 in words is "forty trillion, one hundred sixty-five billion, seven hundred seventeen million, three hundred seventeen thousand, four hundred ninety-three".