41563116 has 144 divisors (see below), whose sum is σ = 128314368. Its totient is φ = 11088000.

The previous prime is 41563097. The next prime is 41563153. The reversal of 41563116 is 61136514.

41563116 is a `hidden beast` number, since 4 + 15 + 631 + 16 = 666.

It is a super-2 number, since 2×41563116² = 3454985223258912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 41563116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411466 + ... + 411566.

It is an arithmetic number, because the mean of its divisors is an integer number (891072).

Almost surely, 2^41563116 is an apocalyptic number.

41563116 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41563116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64157184).

41563116 is an abundant number, since it is smaller than the sum of its proper divisors (86751252).

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

41563116 is a wasteful number, since it uses less digits than its factorization.

41563116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 207 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 41563116 is about 6446.9462538476. The cubic root of 41563116 is about 346.3932068460.

The spelling of 41563116 in words is "forty-one million, five hundred sixty-three thousand, one hundred sixteen".