41133820 has 96 divisors (see below), whose sum is σ = 107872128. Its totient is φ = 12828672.

The previous prime is 41133811. The next prime is 41133847. The reversal of 41133820 is 2833114.

It is a super-2 number, since 2×41133820² = 3383982295584800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41133791 and 41133800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176424 + ... + 176656.

It is an arithmetic number, because the mean of its divisors is an integer number (1123668).

Almost surely, 2^41133820 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 41133820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53936064).

41133820 is an abundant number, since it is smaller than the sum of its proper divisors (66738308).

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

41133820 is a wasteful number, since it uses less digits than its factorization.

41133820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 41133820 is about 6413.5653111199. The cubic root of 41133820 is about 345.1964714426.

Adding to 41133820 its reverse (2833114), we get a palindrome (43966934).

The spelling of 41133820 in words is "forty-one million, one hundred thirty-three thousand, eight hundred twenty".