20417027270641 has 2 divisors, whose sum is σ = 20417027270642. Its totient is φ = 20417027270640.

The previous prime is 20417027270611. The next prime is 20417027270677. The reversal of 20417027270641 is 14607272071402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19955911577616 + 461115693025 = 4467204^2 + 679055^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20417027270641 is a prime.

It is not a weakly prime, because it can be changed into another prime (20417027270611) 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, 10208513635320 + 10208513635321.

It is an arithmetic number, because the mean of its divisors is an integer number (10208513635321).

Almost surely, 2^{20417027270641} is an apocalyptic number.

It is an amenable number.

20417027270641 is a deficient number, since it is larger than the sum of its proper divisors (1).

20417027270641 is an equidigital number, since it uses as much as digits as its factorization.

20417027270641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 263424, while the sum is 43.

The spelling of 20417027270641 in words is "twenty trillion, four hundred seventeen billion, twenty-seven million, two hundred seventy thousand, six hundred forty-one".