41133312 has 144 divisors (see below), whose sum is σ = 132941760. Its totient is φ = 12441600.

The previous prime is 41133299. The next prime is 41133329. The reversal of 41133312 is 21333114.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75762 + ... + 76302.

Almost surely, 2^41133312 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 41133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66470880).

41133312 is an abundant number, since it is smaller than the sum of its proper divisors (91808448).

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

41133312 is a wasteful number, since it uses less digits than its factorization.

41133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 557 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 41133312 is about 6413.5257074405. The cubic root of 41133312 is about 345.1950503854.

Adding to 41133312 its reverse (21333114), we get a palindrome (62466426).

The spelling of 41133312 in words is "forty-one million, one hundred thirty-three thousand, three hundred twelve".