40984834131937 has 2 divisors, whose sum is σ = 40984834131938. Its totient is φ = 40984834131936.

The previous prime is 40984834131929. The next prime is 40984834132013. The reversal of 40984834131937 is 73913143848904.

40984834131937 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39616399752336 + 1368434379601 = 6294156^2 + 1169801^2 .

It is a cyclic number.

It is not a de Polignac number, because 40984834131937 - 2³ = 40984834131929 is a prime.

It is not a weakly prime, because it can be changed into another prime (40984834135937) 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, 20492417065968 + 20492417065969.

It is an arithmetic number, because the mean of its divisors is an integer number (20492417065969).

Almost surely, 2^{40984834131937} is an apocalyptic number.

It is an amenable number.

40984834131937 is a deficient number, since it is larger than the sum of its proper divisors (1).

40984834131937 is an equidigital number, since it uses as much as digits as its factorization.

40984834131937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62705664, while the sum is 64.

The spelling of 40984834131937 in words is "forty trillion, nine hundred eighty-four billion, eight hundred thirty-four million, one hundred thirty-one thousand, nine hundred thirty-seven".