40168126017 has 16 divisors (see below), whose sum is σ = 59541050880. Its totient is φ = 26764028496.

The previous prime is 40168126007. The next prime is 40168126057. The reversal of 40168126017 is 71062186104.

It is a happy number.

40168126017 is a `hidden beast` number, since 40 + 1 + 6 + 8 + 1 + 2 + 601 + 7 = 666.

It is not a de Polignac number, because 40168126017 - 2⁴ = 40168126001 is a prime.

It is a super-2 number, since 2×40168126017² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40168126007) 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 15 ways as a sum of consecutive naturals, for example, 358818 + ... + 457259.

It is an arithmetic number, because the mean of its divisors is an integer number (3721315680).

Almost surely, 2^40168126017 is an apocalyptic number.

It is an amenable number.

40168126017 is a deficient number, since it is larger than the sum of its proper divisors (19372924863).

40168126017 is a wasteful number, since it uses less digits than its factorization.

40168126017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817909 (or 817903 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 40168126017 in words is "forty billion, one hundred sixty-eight million, one hundred twenty-six thousand, seventeen".