41116800 has 96 divisors (see below), whose sum is σ = 135460080. Its totient is φ = 10961920.

The previous prime is 41116771. The next prime is 41116807. The reversal of 41116800 is 861114.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (41116807) 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, 7459 + ... + 11741.

Almost surely, 2^41116800 is an apocalyptic number.

41116800 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 41116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67730040).

41116800 is an abundant number, since it is smaller than the sum of its proper divisors (94343280).

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

41116800 is a wasteful number, since it uses less digits than its factorization.

41116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4310 (or 4293 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 41116800 is about 6412.2382987534. The cubic root of 41116800 is about 345.1488540605.

Adding to 41116800 its reverse (861114), we get a palindrome (41977914).

The spelling of 41116800 in words is "forty-one million, one hundred sixteen thousand, eight hundred".