40810236401681 has 2 divisors, whose sum is σ = 40810236401682. Its totient is φ = 40810236401680.

The previous prime is 40810236401647. The next prime is 40810236401699. The reversal of 40810236401681 is 18610463201804.

40810236401681 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., 37776511987600 + 3033724414081 = 6146260^2 + 1741759^2 .

It is a cyclic number.

It is not a de Polignac number, because 40810236401681 - 2⁶ = 40810236401617 is a prime.

It is a super-3 number, since 3×40810236401681³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (40810236401611) 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, 20405118200840 + 20405118200841.

It is an arithmetic number, because the mean of its divisors is an integer number (20405118200841).

Almost surely, 2^{40810236401681} is an apocalyptic number.

It is an amenable number.

40810236401681 is a deficient number, since it is larger than the sum of its proper divisors (1).

40810236401681 is an equidigital number, since it uses as much as digits as its factorization.

40810236401681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 221184, while the sum is 44.

The spelling of 40810236401681 in words is "forty trillion, eight hundred ten billion, two hundred thirty-six million, four hundred one thousand, six hundred eighty-one".