40956374916161 has 2 divisors, whose sum is σ = 40956374916162. Its totient is φ = 40956374916160.

The previous prime is 40956374916133. The next prime is 40956374916169. The reversal of 40956374916161 is 16161947365904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33925312807936 + 7031062108225 = 5824544^2 + 2651615^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-40956374916161 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40956374916094 and 40956374916103.

It is not a weakly prime, because it can be changed into another prime (40956374916169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20478187458080 + 20478187458081.

It is an arithmetic number, because the mean of its divisors is an integer number (20478187458081).

Almost surely, 2^{40956374916161} is an apocalyptic number.

It is an amenable number.

40956374916161 is a deficient number, since it is larger than the sum of its proper divisors (1).

40956374916161 is an equidigital number, since it uses as much as digits as its factorization.

40956374916161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 29393280, while the sum is 62.

The spelling of 40956374916161 in words is "forty trillion, nine hundred fifty-six billion, three hundred seventy-four million, nine hundred sixteen thousand, one hundred sixty-one".