41133300 has 144 divisors (see below), whose sum is σ = 131241600. Its totient is φ = 9884160.

The previous prime is 41133299. The next prime is 41133329. The reversal of 41133300 is 333114.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 41133300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206601 + ... + 206799.

It is an arithmetic number, because the mean of its divisors is an integer number (911400).

Almost surely, 2^41133300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65620800).

41133300 is an abundant number, since it is smaller than the sum of its proper divisors (90108300).

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

41133300 is a wasteful number, since it uses less digits than its factorization.

41133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 41133300 is about 6413.5247719175. The cubic root of 41133300 is about 345.1950168170.

Adding to 41133300 its reverse (333114), we get a palindrome (41466414).

The spelling of 41133300 in words is "forty-one million, one hundred thirty-three thousand, three hundred".