41563368 has 320 divisors, whose sum is σ = 156816000. Its totient is φ = 10160640.

The previous prime is 41563349. The next prime is 41563373. The reversal of 41563368 is 86336514.

41563368 is a `hidden beast` number, since 4 + 15 + 633 + 6 + 8 = 666.

41563368 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 (36).

Its product of digits (51840) is a multiple of the sum of its prime divisors (40).

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 79 ways as a sum of consecutive naturals, for example, 2444896 + ... + 2444912.

It is an arithmetic number, because the mean of its divisors is an integer number (490050).

Almost surely, 2^41563368 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 41563368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78408000).

41563368 is an abundant number, since it is smaller than the sum of its proper divisors (115252632).

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

41563368 is a wasteful number, since it uses less digits than its factorization.

41563368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 40 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 41563368 is about 6446.9657979549. The cubic root of 41563368 is about 346.3939069131.

The spelling of 41563368 in words is "forty-one million, five hundred sixty-three thousand, three hundred sixty-eight".