40105742166317 has 4 divisors (see below), whose sum is σ = 42464903470236. Its totient is φ = 37746580862400.

The previous prime is 40105742166313. The next prime is 40105742166319. The reversal of 40105742166317 is 71366124750104.

40105742166317 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 36378039279241 + 3727702887076 = 6031421^2 + 1930726^2 .

It is a cyclic number.

It is not a de Polignac number, because 40105742166317 - 2² = 40105742166313 is a prime.

It is a super-2 number, since 2×40105742166317² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40105742166313) 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 in 3 ways as a sum of consecutive naturals, for example, 1179580651934 + ... + 1179580651967.

It is an arithmetic number, because the mean of its divisors is an integer number (10616225867559).

Almost surely, 2^{40105742166317} is an apocalyptic number.

It is an amenable number.

40105742166317 is a deficient number, since it is larger than the sum of its proper divisors (2359161303919).

40105742166317 is a wasteful number, since it uses less digits than its factorization.

40105742166317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359161303918.

The product of its (nonzero) digits is 846720, while the sum is 47.

The spelling of 40105742166317 in words is "forty trillion, one hundred five billion, seven hundred forty-two million, one hundred sixty-six thousand, three hundred seventeen".