40166271863401 has 2 divisors, whose sum is σ = 40166271863402. Its totient is φ = 40166271863400.

The previous prime is 40166271863363. The next prime is 40166271863407. The reversal of 40166271863401 is 10436817266104.

40166271863401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21884011461225 + 18282260402176 = 4678035^2 + 4275776^2 .

It is a cyclic number.

It is not a de Polignac number, because 40166271863401 - 2²⁵ = 40166238308969 is a prime.

It is a super-2 number, since 2×40166271863401² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40166271863407) 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, 20083135931700 + 20083135931701.

It is an arithmetic number, because the mean of its divisors is an integer number (20083135931701).

Almost surely, 2^{40166271863401} is an apocalyptic number.

It is an amenable number.

40166271863401 is a deficient number, since it is larger than the sum of its proper divisors (1).

40166271863401 is an equidigital number, since it uses as much as digits as its factorization.

40166271863401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 40166271863401 in words is "forty trillion, one hundred sixty-six billion, two hundred seventy-one million, eight hundred sixty-three thousand, four hundred one".