41680800 has 216 divisors, whose sum is σ = 168176736. Its totient is φ = 9515520.

The previous prime is 41680799. The next prime is 41680811. The reversal of 41680800 is 808614.

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 35 ways as a sum of consecutive naturals, for example, 49987 + ... + 50813.

It is an arithmetic number, because the mean of its divisors is an integer number (778596).

Almost surely, 2^41680800 is an apocalyptic number.

41680800 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 41680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84088368).

41680800 is an abundant number, since it is smaller than the sum of its proper divisors (126495936).

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

41680800 is a wasteful number, since it uses less digits than its factorization.

41680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 41680800 is about 6456.0669141514. The cubic root of 41680800 is about 346.7198307682.

The spelling of 41680800 in words is "forty-one million, six hundred eighty thousand, eight hundred".