40431234012137 has 2 divisors, whose sum is σ = 40431234012138. Its totient is φ = 40431234012136.

The previous prime is 40431234012121. The next prime is 40431234012151. The reversal of 40431234012137 is 73121043213404.

40431234012137 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., 37120213428496 + 3311020583641 = 6092636^2 + 1819621^2 .

It is a cyclic number.

It is not a de Polignac number, because 40431234012137 - 2⁴ = 40431234012121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40431234012097 and 40431234012106.

It is not a weakly prime, because it can be changed into another prime (40431234042137) 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, 20215617006068 + 20215617006069.

It is an arithmetic number, because the mean of its divisors is an integer number (20215617006069).

Almost surely, 2^{40431234012137} is an apocalyptic number.

It is an amenable number.

40431234012137 is a deficient number, since it is larger than the sum of its proper divisors (1).

40431234012137 is an equidigital number, since it uses as much as digits as its factorization.

40431234012137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 40431234012137 in words is "forty trillion, four hundred thirty-one billion, two hundred thirty-four million, twelve thousand, one hundred thirty-seven".