41408064 has 112 divisors (see below), whose sum is σ = 125821440. Its totient is φ = 13340160.

The previous prime is 41408063. The next prime is 41408071. The reversal of 41408064 is 46080414.

41408064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (41408063) 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 15 ways as a sum of consecutive naturals, for example, 53182 + ... + 53954.

Almost surely, 2^41408064 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 41408064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62910720).

41408064 is an abundant number, since it is smaller than the sum of its proper divisors (84413376).

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

41408064 is a wasteful number, since it uses less digits than its factorization.

41408064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 41408064 is about 6434.9097895775. The cubic root of 41408064 is about 345.9619279392.

Adding to 41408064 its reverse (46080414), we get a palindrome (87488478).

The spelling of 41408064 in words is "forty-one million, four hundred eight thousand, sixty-four".