40197718791361 has 2 divisors, whose sum is σ = 40197718791362. Its totient is φ = 40197718791360.

The previous prime is 40197718791271. The next prime is 40197718791397. The reversal of 40197718791361 is 16319781779104.

40197718791361 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., 29588366951361 + 10609351840000 = 5439519^2 + 3257200^2 .

It is a cyclic number.

It is not a de Polignac number, because 40197718791361 - 2²¹ = 40197716694209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40197718791293 and 40197718791302.

It is not a weakly prime, because it can be changed into another prime (40197718791161) 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, 20098859395680 + 20098859395681.

It is an arithmetic number, because the mean of its divisors is an integer number (20098859395681).

Almost surely, 2^{40197718791361} is an apocalyptic number.

It is an amenable number.

40197718791361 is a deficient number, since it is larger than the sum of its proper divisors (1).

40197718791361 is an equidigital number, since it uses as much as digits as its factorization.

40197718791361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16003008, while the sum is 64.

The spelling of 40197718791361 in words is "forty trillion, one hundred ninety-seven billion, seven hundred eighteen million, seven hundred ninety-one thousand, three hundred sixty-one".