40168844072089 has 2 divisors, whose sum is σ = 40168844072090. Its totient is φ = 40168844072088.

The previous prime is 40168844072033. The next prime is 40168844072101. The reversal of 40168844072089 is 98027044886104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39449202339600 + 719641732489 = 6280860^2 + 848317^2 .

It is a cyclic number.

It is not a de Polignac number, because 40168844072089 - 2¹¹ = 40168844070041 is a prime.

It is a super-2 number, since 2×40168844072089² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40168844073089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20084422036044 + 20084422036045.

It is an arithmetic number, because the mean of its divisors is an integer number (20084422036045).

Almost surely, 2^{40168844072089} is an apocalyptic number.

It is an amenable number.

40168844072089 is a deficient number, since it is larger than the sum of its proper divisors (1).

40168844072089 is an equidigital number, since it uses as much as digits as its factorization.

40168844072089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24772608, while the sum is 61.

The spelling of 40168844072089 in words is "forty trillion, one hundred sixty-eight billion, eight hundred forty-four million, seventy-two thousand, eighty-nine".