41975277041889 has 27 divisors (see below), whose sum is σ = 61551311501043. Its totient is φ = 27564998373792.

The previous prime is 41975277041879. The next prime is 41975277041899. The reversal of 41975277041889 is 98814077257914.

The square root of 41975277041889 is 6478833.

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

41975277041889 is a `hidden beast` number, since 4 + 1 + 9 + 7 + 527 + 7 + 0 + 4 + 18 + 89 = 666.

It is an interprime number because it is at equal distance from previous prime (41975277041879) and next prime (41975277041899).

It can be written as a sum of positive squares in only one way, i.e., 30831644390625 + 11143632651264 = 5552625^2 + 3338208^2 .

It is not a de Polignac number, because 41975277041889 - 2⁹ = 41975277041377 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (41975277041879) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1302229317 + ... + 1302261549.

Almost surely, 2^{41975277041889} is an apocalyptic number.

41975277041889 is the 6478833-rd square number.

41975277041889 is the 3239417-th centered octagonal number.

It is an amenable number.

41975277041889 is a deficient number, since it is larger than the sum of its proper divisors (19576034459154).

41975277041889 is an frugal number, since it uses more digits than its factorization.

41975277041889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64606 (or 32303 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 72.

The spelling of 41975277041889 in words is "forty-one trillion, nine hundred seventy-five billion, two hundred seventy-seven million, forty-one thousand, eight hundred eighty-nine".