41181066675 has 216 divisors, whose sum is σ = 87883660800. Its totient is φ = 18053642880.

The previous prime is 41181066587. The next prime is 41181066677. The reversal of 41181066675 is 57666018114.

It is not a de Polignac number, because 41181066675 - 2⁹ = 41181066163 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 41181066675.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41181066677) 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 215 ways as a sum of consecutive naturals, for example, 230061736 + ... + 230061914.

It is an arithmetic number, because the mean of its divisors is an integer number (406868800).

Almost surely, 2^41181066675 is an apocalyptic number.

41181066675 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41181066675 is an abundant number, since it is smaller than the sum of its proper divisors (46702594125).

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

41181066675 is a wasteful number, since it uses less digits than its factorization.

41181066675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 41181066675 in words is "forty-one billion, one hundred eighty-one million, sixty-six thousand, six hundred seventy-five".