41114200 has 48 divisors (see below), whose sum is σ = 96042960. Its totient is φ = 16368000.

The previous prime is 41114191. The next prime is 41114251. The reversal of 41114200 is 241114.

41114200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61870 + ... + 62530.

It is an arithmetic number, because the mean of its divisors is an integer number (2000895).

Almost surely, 2^41114200 is an apocalyptic number.

41114200 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 41114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48021480).

41114200 is an abundant number, since it is smaller than the sum of its proper divisors (54928760).

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

41114200 is a wasteful number, since it uses less digits than its factorization.

41114200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 41114200 is about 6412.0355582295. The cubic root of 41114200 is about 345.1415788029.

Adding to 41114200 its reverse (241114), we get a palindrome (41355314).

It can be divided in two parts, 41114 and 200, that added together give a palindrome (41314).

The spelling of 41114200 in words is "forty-one million, one hundred fourteen thousand, two hundred".