20128870683441 has 243 divisors, whose sum is σ = 34290636452163. Its totient is φ = 11370638822400.

The previous prime is 20128870683431. The next prime is 20128870683451. The reversal of 20128870683441 is 14438607882102.

The square root of 20128870683441 is 4486521.

It is a perfect power (a square), and thus also a powerful number.

20128870683441 is a `hidden beast` number, since 2 + 0 + 128 + 8 + 70 + 6 + 8 + 3 + 441 = 666.

It is an interprime number because it is at equal distance from previous prime (20128870683431) and next prime (20128870683451).

It can be written as a sum of positive squares in 13 ways, for example, as 1695930593841 + 18432940089600 = 1302279^2 + 4293360^2 .

It is not a de Polignac number, because 20128870683441 - 2¹¹ = 20128870681393 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20128870683431) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 199295749291 + ... + 199295749391.

Almost surely, 2^{20128870683441} is an apocalyptic number.

20128870683441 is the 4486521-st square number.

20128870683441 is the 2243261-st centered octagonal number.

It is an amenable number.

20128870683441 is a deficient number, since it is larger than the sum of its proper divisors (14161765768722).

20128870683441 is a wasteful number, since it uses less digits than its factorization.

20128870683441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 20128870683441 in words is "twenty trillion, one hundred twenty-eight billion, eight hundred seventy million, six hundred eighty-three thousand, four hundred forty-one".