41114112233200 has 120 divisors (see below), whose sum is σ = 101328586274160. Its totient is φ = 16021897267200.

The previous prime is 41114112233191. The next prime is 41114112233209. The reversal of 41114112233200 is 233221141114.

It is an interprime number because it is at equal distance from previous prime (41114112233191) and next prime (41114112233209).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41114112233209) 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, 9859647 + ... + 13395553.

It is an arithmetic number, because the mean of its divisors is an integer number (844404885618).

Almost surely, 2^{41114112233200} is an apocalyptic number.

41114112233200 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 41114112233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50664293137080).

41114112233200 is an abundant number, since it is smaller than the sum of its proper divisors (60214474040960).

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

41114112233200 is a wasteful number, since it uses less digits than its factorization.

41114112233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3536675 (or 3536664 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 41114112233200 its reverse (233221141114), we get a palindrome (41347333374314).

The spelling of 41114112233200 in words is "forty-one trillion, one hundred fourteen billion, one hundred twelve million, two hundred thirty-three thousand, two hundred".