411077287551681 has 27 divisors (see below), whose sum is σ = 598156213927363. Its totient is φ = 272045634128160.

The previous prime is 411077287551673. The next prime is 411077287551691. The reversal of 411077287551681 is 186155782770114.

The square root of 411077287551681 is 20275041.

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

411077287551681 is a `hidden beast` number, since 4 + 1 + 1 + 0 + 7 + 72 + 8 + 7 + 551 + 6 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 241468756740225 + 169608530811456 = 15539265^2 + 13023384^2 .

It is not a de Polignac number, because 411077287551681 - 2³ = 411077287551673 is a prime.

It is a super-2 number, since 2×411077287551681² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (411077287551611) 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, 8333017186 + ... + 8333066516.

Almost surely, 2^{411077287551681} is an apocalyptic number.

411077287551681 is the 20275041-st square number.

411077287551681 is the 10137521-st centered octagonal number.

It is an amenable number.

411077287551681 is a deficient number, since it is larger than the sum of its proper divisors (187078926375682).

411077287551681 is an frugal number, since it uses more digits than its factorization.

411077287551681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98942 (or 49471 counting only the distinct ones).

The product of its (nonzero) digits is 26342400, while the sum is 63.

The spelling of 411077287551681 in words is "four hundred eleven trillion, seventy-seven billion, two hundred eighty-seven million, five hundred fifty-one thousand, six hundred eighty-one".