41680897281 has 9 divisors (see below), whose sum is σ = 60206625219. Its totient is φ = 27786856536.

The previous prime is 41680897259. The next prime is 41680897319. The reversal of 41680897281 is 18279808614.

The square root of 41680897281 is 204159.

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

41680897281 is a `hidden beast` number, since 416 + 8 + 0 + 89 + 72 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8380487025 + 33300410256 = 91545^2 + 182484^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 41680897281 - 2¹⁵ = 41680864513 is a prime.

It is a super-2 number, since 2×41680897281² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41680897981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 578451 + ... + 646503.

Almost surely, 2^41680897281 is an apocalyptic number.

41680897281 is the 204159-th square number.

41680897281 is the 102080-th centered octagonal number.

It is an amenable number.

41680897281 is a deficient number, since it is larger than the sum of its proper divisors (18525727938).

41680897281 is an frugal number, since it uses more digits than its factorization.

41680897281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136112 (or 68056 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

It can be divided in two parts, 416808 and 97281, that added together give a square (514089 = 717²).

The spelling of 41680897281 in words is "forty-one billion, six hundred eighty million, eight hundred ninety-seven thousand, two hundred eighty-one".