41668800 has 84 divisors (see below), whose sum is σ = 136724136. Its totient is φ = 11110400.

The previous prime is 41668799. The next prime is 41668807. The reversal of 41668800 is 886614.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (41668807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 460 + ... + 9140.

Almost surely, 2^41668800 is an apocalyptic number.

41668800 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 41668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68362068).

41668800 is an abundant number, since it is smaller than the sum of its proper divisors (95055336).

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

41668800 is a wasteful number, since it uses less digits than its factorization.

41668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8706 (or 8691 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 41668800 is about 6455.1374888534. The cubic root of 41668800 is about 346.6865537572.

The spelling of 41668800 in words is "forty-one million, six hundred sixty-eight thousand, eight hundred".