41166193514688 has 504 divisors, whose sum is σ = 131082267680000. Its totient is φ = 12341649576960.

The previous prime is 41166193514683. The next prime is 41166193514713. The reversal of 41166193514688 is 88641539166114.

41166193514688 is a `hidden beast` number, since 4 + 1 + 1 + 6 + 619 + 3 + 5 + 1 + 4 + 6 + 8 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (41166193514681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10042982463 + ... + 10042986561.

Almost surely, 2^{41166193514688} is an apocalyptic number.

41166193514688 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 41166193514688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65541133840000).

41166193514688 is an abundant number, since it is smaller than the sum of its proper divisors (89916074165312).

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

41166193514688 is a wasteful number, since it uses less digits than its factorization.

41166193514688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5641 (or 5617 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The spelling of 41166193514688 in words is "forty-one trillion, one hundred sixty-six billion, one hundred ninety-three million, five hundred fourteen thousand, six hundred eighty-eight".