41100120907776 has 2688 divisors, whose sum is σ = 157663071820800. Its totient is φ = 10434222489600.

The previous prime is 41100120907687. The next prime is 41100120907789. The reversal of 41100120907776 is 67770902100114.

41100120907776 is a `hidden beast` number, since 411 + 0 + 0 + 12 + 0 + 90 + 77 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 406931890126 + ... + 406931890226.

It is an arithmetic number, because the mean of its divisors is an integer number (58654416600).

Almost surely, 2^{41100120907776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41100120907776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78831535910400).

41100120907776 is an abundant number, since it is smaller than the sum of its proper divisors (116562950913024).

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

41100120907776 is a wasteful number, since it uses less digits than its factorization.

41100120907776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 41100120907776 in words is "forty-one trillion, one hundred billion, one hundred twenty million, nine hundred seven thousand, seven hundred seventy-six".