41117916211200 has 720 divisors, whose sum is σ = 161250628478940. Its totient is φ = 10319773040640.

The previous prime is 41117916211187. The next prime is 41117916211249. The reversal of 41117916211200 is 211261971114.

41117916211200 is a `hidden beast` number, since 4 + 1 + 1 + 1 + 7 + 9 + 1 + 621 + 1 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 31355340973056 + 9762575238144 = 5599584^2 + 3124512^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 70210794 + ... + 70794006.

Almost surely, 2^{41117916211200} is an apocalyptic number.

41117916211200 is a gapful number since it is divisible by the number (40) 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 41117916211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80625314239470).

41117916211200 is an abundant number, since it is smaller than the sum of its proper divisors (120132712267740).

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

41117916211200 is a wasteful number, since it uses less digits than its factorization.

41117916211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583274 (or 583240 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The spelling of 41117916211200 in words is "forty-one trillion, one hundred seventeen billion, nine hundred sixteen million, two hundred eleven thousand, two hundred".