41195330967168 has 384 divisors, whose sum is σ = 140518490112000. Its totient is φ = 11768245926912.

The previous prime is 41195330967151. The next prime is 41195330967299. The reversal of 41195330967168 is 86176903359114.

It is a happy number.

41195330967168 is a `hidden beast` number, since 4 + 1 + 1 + 9 + 533 + 0 + 96 + 7 + 1 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2011578753 + ... + 2011599231.

It is an arithmetic number, because the mean of its divisors is an integer number (365933568000).

Almost surely, 2^{41195330967168} is an apocalyptic number.

41195330967168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41195330967168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70259245056000).

41195330967168 is an abundant number, since it is smaller than the sum of its proper divisors (99323159144832).

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

41195330967168 is an equidigital number, since it uses as much as digits as its factorization.

41195330967168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29754 (or 29730 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 41195330967168 in words is "forty-one trillion, one hundred ninety-five billion, three hundred thirty million, nine hundred sixty-seven thousand, one hundred sixty-eight".