41682261771 has 32 divisors (see below), whose sum is σ = 63289074240. Its totient is φ = 27096940800.

The previous prime is 41682261721. The next prime is 41682261779. The reversal of 41682261771 is 17716228614.

41682261771 is a `hidden beast` number, since 4 + 1 + 6 + 8 + 22 + 617 + 7 + 1 = 666.

It is not a de Polignac number, because 41682261771 - 2⁶ = 41682261707 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41682261779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2530141 + ... + 2546561.

It is an arithmetic number, because the mean of its divisors is an integer number (1977783570).

Almost surely, 2^41682261771 is an apocalyptic number.

41682261771 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

41682261771 is a deficient number, since it is larger than the sum of its proper divisors (21606812469).

41682261771 is a wasteful number, since it uses less digits than its factorization.

41682261771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18764 (or 18758 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The spelling of 41682261771 in words is "forty-one billion, six hundred eighty-two million, two hundred sixty-one thousand, seven hundred seventy-one".