41123662677 has 48 divisors (see below), whose sum is σ = 63800596080. Its totient is φ = 25433856000.

The previous prime is 41123662673. The next prime is 41123662717. The reversal of 41123662677 is 77626632114.

41123662677 is a `hidden beast` number, since 4 + 1 + 12 + 3 + 6 + 626 + 7 + 7 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7664302116 + 33459360561 = 87546^2 + 182919^2 .

It is not a de Polignac number, because 41123662677 - 2² = 41123662673 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41123662673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3532927 + ... + 3544547.

It is an arithmetic number, because the mean of its divisors is an integer number (1329179085).

Almost surely, 2^41123662677 is an apocalyptic number.

It is an amenable number.

41123662677 is a deficient number, since it is larger than the sum of its proper divisors (22676933403).

41123662677 is a wasteful number, since it uses less digits than its factorization.

41123662677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11974 (or 11971 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 41123662677 in words is "forty-one billion, one hundred twenty-three million, six hundred sixty-two thousand, six hundred seventy-seven".