41133200 has 120 divisors (see below), whose sum is σ = 109600128. Its totient is φ = 14755840.

The previous prime is 41133173. The next prime is 41133259. The reversal of 41133200 is 233114.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156269 + ... + 156531.

Almost surely, 2^41133200 is an apocalyptic number.

41133200 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 41133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54800064).

41133200 is an abundant number, since it is smaller than the sum of its proper divisors (68466928).

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

41133200 is a wasteful number, since it uses less digits than its factorization.

41133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 41133200 is about 6413.5169758877. The cubic root of 41133200 is about 345.1947370799.

Adding to 41133200 its reverse (233114), we get a palindrome (41366314).

The spelling of 41133200 in words is "forty-one million, one hundred thirty-three thousand, two hundred".