41405824 has 32 divisors (see below), whose sum is σ = 83856240. Its totient is φ = 20359680.

The previous prime is 41405789. The next prime is 41405839. The reversal of 41405824 is 42850414.

41405824 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 (32).

It is a super-2 number, since 2×41405824² = 3428884522237952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41405792 and 41405801.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 5157 + ... + 10459.

Almost surely, 2^41405824 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 41405824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41928120).

41405824 is an abundant number, since it is smaller than the sum of its proper divisors (42450416).

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

41405824 is an equidigital number, since it uses as much as digits as its factorization.

41405824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5378 (or 5366 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 41405824 is about 6434.7357366095. The cubic root of 41405824 is about 345.9556894708.

The spelling of 41405824 in words is "forty-one million, four hundred five thousand, eight hundred twenty-four".