41233200 has 60 divisors (see below), whose sum is σ = 132087528. Its totient is φ = 10995200.

The previous prime is 41233169. The next prime is 41233201. The reversal of 41233200 is 233214.

It is a tau number, because it is divible by the number of its divisors (60).

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 41233200.

It is not an unprimeable number, because it can be changed into a prime (41233201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15981 + ... + 18380.

Almost surely, 2^41233200 is an apocalyptic number.

41233200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41233200 is an abundant number, since it is smaller than the sum of its proper divisors (90854328).

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

41233200 is a wasteful number, since it uses less digits than its factorization.

41233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34382 (or 34371 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 41233200 is about 6421.3082779135. The cubic root of 41233200 is about 345.4742480159.

Adding to 41233200 its reverse (233214), we get a palindrome (41466414).

The spelling of 41233200 in words is "forty-one million, two hundred thirty-three thousand, two hundred".