41133024 has 72 divisors (see below), whose sum is σ = 123144840. Its totient is φ = 12987648.

The previous prime is 41133023. The next prime is 41133067. The reversal of 41133024 is 42033114.

41133024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 41132988 and 41133006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41133023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1714 + ... + 9230.

It is an arithmetic number, because the mean of its divisors is an integer number (1710345).

Almost surely, 2^41133024 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 41133024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61572420).

41133024 is an abundant number, since it is smaller than the sum of its proper divisors (82011816).

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

41133024 is a wasteful number, since it uses less digits than its factorization.

41133024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7552 (or 7541 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 41133024 is about 6413.5032548522. The cubic root of 41133024 is about 345.1942447415.

Adding to 41133024 its reverse (42033114), we get a palindrome (83166138).

The spelling of 41133024 in words is "forty-one million, one hundred thirty-three thousand, twenty-four".