40106087742361 has 2 divisors, whose sum is σ = 40106087742362. Its totient is φ = 40106087742360.

The previous prime is 40106087742359. The next prime is 40106087742407. The reversal of 40106087742361 is 16324778060104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34788244200336 + 5317843542025 = 5898156^2 + 2306045^2 .

It is a cyclic number.

It is not a de Polignac number, because 40106087742361 - 2¹ = 40106087742359 is a prime.

Together with 40106087742359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (40106087742661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20053043871180 + 20053043871181.

It is an arithmetic number, because the mean of its divisors is an integer number (20053043871181).

Almost surely, 2^{40106087742361} is an apocalyptic number.

It is an amenable number.

40106087742361 is a deficient number, since it is larger than the sum of its proper divisors (1).

40106087742361 is an equidigital number, since it uses as much as digits as its factorization.

40106087742361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1354752, while the sum is 49.

The spelling of 40106087742361 in words is "forty trillion, one hundred six billion, eighty-seven million, seven hundred forty-two thousand, three hundred sixty-one".