41808800 has 72 divisors (see below), whose sum is σ = 111367872. Its totient is φ = 15200000.

The previous prime is 41808791. The next prime is 41808817. The reversal of 41808800 is 880814.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6425 + ... + 11175.

It is an arithmetic number, because the mean of its divisors is an integer number (1546776).

Almost surely, 2^41808800 is an apocalyptic number.

41808800 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 41808800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55683936).

41808800 is an abundant number, since it is smaller than the sum of its proper divisors (69559072).

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

41808800 is a wasteful number, since it uses less digits than its factorization.

41808800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4782 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 41808800 is about 6465.9724713302. The cubic root of 41808800 is about 347.0743887888.

The spelling of 41808800 in words is "forty-one million, eight hundred eight thousand, eight hundred".