41114233200 has 120 divisors (see below), whose sum is σ = 132911297200. Its totient is φ = 10863175680.

The previous prime is 41114233183. The next prime is 41114233207. The reversal of 41114233200 is 233241114.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41114233207) 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, 26365 + ... + 287964.

Almost surely, 2^41114233200 is an apocalyptic number.

41114233200 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 41114233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66455648600).

41114233200 is an abundant number, since it is smaller than the sum of its proper divisors (91797064000).

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

41114233200 is a wasteful number, since it uses less digits than its factorization.

41114233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314459 (or 314448 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 41114233200 its reverse (233241114), we get a palindrome (41347474314).

The spelling of 41114233200 in words is "forty-one billion, one hundred fourteen million, two hundred thirty-three thousand, two hundred".