41988800 has 168 divisors, whose sum is σ = 123968256. Its totient is φ = 13685760.

The previous prime is 41988799. The next prime is 41988809. The reversal of 41988800 is 888914.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41988809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257519 + ... + 257681.

Almost surely, 2^41988800 is an apocalyptic number.

41988800 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 41988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61984128).

41988800 is an abundant number, since it is smaller than the sum of its proper divisors (81979456).

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

41988800 is a wasteful number, since it uses less digits than its factorization.

41988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The square root of 41988800 is about 6479.8765420338. The cubic root of 41988800 is about 347.5717637271.

The spelling of 41988800 in words is "forty-one million, nine hundred eighty-eight thousand, eight hundred".