41856 has 32 divisors (see below), whose sum is σ = 112200. Its totient is φ = 13824.

The previous prime is 41851. The next prime is 41863. The reversal of 41856 is 65814.

41856 = T₅₉ + T₆₀ + ... + T₇₆.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 41856.

It is not an unprimeable number, because it can be changed into a prime (41851) by changing a digit.

41856 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 330 + ... + 438.

2⁴¹⁸⁵⁶ 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 41856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56100).

41856 is an abundant number, since it is smaller than the sum of its proper divisors (70344).

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

41856 is a wasteful number, since it uses less digits than its factorization.

41856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 41856 is about 204.5873896407. The cubic root of 41856 is about 34.7204949422.

It can be divided in two parts, 418 and 56, that added together give a palindrome (474).

The spelling of 41856 in words is "forty-one thousand, eight hundred fifty-six".