41681960775 has 288 divisors, whose sum is σ = 96747141120. Its totient is φ = 17133016320.

The previous prime is 41681960773. The next prime is 41681960783. The reversal of 41681960775 is 57706918614.

41681960775 is a `hidden beast` number, since 4 + 16 + 8 + 19 + 607 + 7 + 5 = 666.

It is not a de Polignac number, because 41681960775 - 2¹ = 41681960773 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41681960773) 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 287 ways as a sum of consecutive naturals, for example, 113574642 + ... + 113575008.

Almost surely, 2^41681960775 is an apocalyptic number.

41681960775 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41681960775 is an abundant number, since it is smaller than the sum of its proper divisors (55065180345).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41681960775 is a wasteful number, since it uses less digits than its factorization.

41681960775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 41681960775 in words is "forty-one billion, six hundred eighty-one million, nine hundred sixty thousand, seven hundred seventy-five".