4205416681 has 2 divisors, whose sum is σ = 4205416682. Its totient is φ = 4205416680.

The previous prime is 4205416679. The next prime is 4205416687. The reversal of 4205416681 is 1866145024.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2127515625 + 2077901056 = 46125^2 + 45584^2 .

It is a cyclic number.

It is not a de Polignac number, because 4205416681 - 2¹ = 4205416679 is a prime.

It is a super-2 number, since 2×4205416681² = 35371058921666111522, which contains 22 as substring.

Together with 4205416679, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 4205416681.

It is not a weakly prime, because it can be changed into another prime (4205416687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2102708340 + 2102708341.

It is an arithmetic number, because the mean of its divisors is an integer number (2102708341).

Almost surely, 2^4205416681 is an apocalyptic number.

It is an amenable number.

4205416681 is a deficient number, since it is larger than the sum of its proper divisors (1).

4205416681 is an equidigital number, since it uses as much as digits as its factorization.

4205416681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 4205416681 is about 64849.1841197713. The cubic root of 4205416681 is about 1614.1219534803.

The spelling of 4205416681 in words is "four billion, two hundred five million, four hundred sixteen thousand, six hundred eighty-one".