41168468880 has 1440 divisors, whose sum is σ = 194215926528. Its totient is φ = 7627530240.

The previous prime is 41168468849. The next prime is 41168468893. The reversal of 41168468880 is 8886486114.

It is a happy number.

41168468880 is a `hidden beast` number, since 41 + 1 + 68 + 468 + 8 + 80 = 666.

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 2166761511 + ... + 2166761529.

Almost surely, 2^41168468880 is an apocalyptic number.

41168468880 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 41168468880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97107963264).

41168468880 is an abundant number, since it is smaller than the sum of its proper divisors (153047457648).

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

41168468880 is a wasteful number, since it uses less digits than its factorization.

41168468880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 41168468880 in words is "forty-one billion, one hundred sixty-eight million, four hundred sixty-eight thousand, eight hundred eighty".