27640435241 has 2 divisors, whose sum is σ = 27640435242. Its totient is φ = 27640435240.

The previous prime is 27640435223. The next prime is 27640435243. The reversal of 27640435241 is 14253404672.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27317478400 + 322956841 = 165280^2 + 17971^2 .

It is a cyclic number.

It is not a de Polignac number, because 27640435241 - 2⁶ = 27640435177 is a prime.

It is a Sophie Germain prime.

Together with 27640435243, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 27640435195 and 27640435204.

It is not a weakly prime, because it can be changed into another prime (27640435243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13820217620 + 13820217621.

It is an arithmetic number, because the mean of its divisors is an integer number (13820217621).

Almost surely, 2^27640435241 is an apocalyptic number.

It is an amenable number.

27640435241 is a deficient number, since it is larger than the sum of its proper divisors (1).

27640435241 is an equidigital number, since it uses as much as digits as its factorization.

27640435241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 161280, while the sum is 38.

The spelling of 27640435241 in words is "twenty-seven billion, six hundred forty million, four hundred thirty-five thousand, two hundred forty-one".