4128364000681 has 2 divisors, whose sum is σ = 4128364000682. Its totient is φ = 4128364000680.

The previous prime is 4128364000667. The next prime is 4128364000693. The reversal of 4128364000681 is 1860004638214.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2835549520281 + 1292814480400 = 1683909^2 + 1137020^2 .

It is a cyclic number.

It is not a de Polignac number, because 4128364000681 - 2³⁷ = 3990925047209 is a prime.

It is a super-2 number, since 2×4128364000681² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4128364000081) 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, 2064182000340 + 2064182000341.

It is an arithmetic number, because the mean of its divisors is an integer number (2064182000341).

Almost surely, 2^{4128364000681} is an apocalyptic number.

It is an amenable number.

4128364000681 is a deficient number, since it is larger than the sum of its proper divisors (1).

4128364000681 is an equidigital number, since it uses as much as digits as its factorization.

4128364000681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 221184, while the sum is 43.

Adding to 4128364000681 its reverse (1860004638214), we get a palindrome (5988368638895).

The spelling of 4128364000681 in words is "four trillion, one hundred twenty-eight billion, three hundred sixty-four million, six hundred eighty-one", and thus it is an aban number.