40117016727713 has 4 divisors (see below), whose sum is σ = 40182460475028. Its totient is φ = 40051572980400.

The previous prime is 40117016727709. The next prime is 40117016727811. The reversal of 40117016727713 is 31772761071104.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 4026575996689 + 36090440731024 = 2006633^2 + 6007532^2 .

It is a cyclic number.

It is not a de Polignac number, because 40117016727713 - 2² = 40117016727709 is a prime.

It is a super-2 number, since 2×40117016727713² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40117016727113) 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 in 3 ways as a sum of consecutive naturals, for example, 32721872738 + ... + 32721873963.

It is an arithmetic number, because the mean of its divisors is an integer number (10045615118757).

Almost surely, 2^{40117016727713} is an apocalyptic number.

It is an amenable number.

40117016727713 is a deficient number, since it is larger than the sum of its proper divisors (65443747315).

40117016727713 is an equidigital number, since it uses as much as digits as its factorization.

40117016727713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65443747314.

The product of its (nonzero) digits is 345744, while the sum is 47.

Adding to 40117016727713 its reverse (31772761071104), we get a palindrome (71889777798817).

The spelling of 40117016727713 in words is "forty trillion, one hundred seventeen billion, sixteen million, seven hundred twenty-seven thousand, seven hundred thirteen".