41168745676800 has 1440 divisors, whose sum is σ = 176403896928000. Its totient is φ = 9409131970560.

The previous prime is 41168745676783. The next prime is 41168745676811. The reversal of 41168745676800 is 867654786114.

41168745676800 is a `hidden beast` number, since 4 + 1 + 1 + 6 + 8 + 7 + 4 + 567 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3793300174 + ... + 3793311026.

It is an arithmetic number, because the mean of its divisors is an integer number (122502706200).

Almost surely, 2^{41168745676800} is an apocalyptic number.

41168745676800 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 41168745676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88201948464000).

41168745676800 is an abundant number, since it is smaller than the sum of its proper divisors (135235151251200).

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

41168745676800 is an equidigital number, since it uses as much as digits as its factorization.

41168745676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10921 (or 10870 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 41168745676800 in words is "forty-one trillion, one hundred sixty-eight billion, seven hundred forty-five million, six hundred seventy-six thousand, eight hundred".