41856000 has 176 divisors, whose sum is σ = 140506080. Its totient is φ = 11059200.

The previous prime is 41855981. The next prime is 41856029. The reversal of 41856000 is 65814.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383946 + ... + 384054.

It is an arithmetic number, because the mean of its divisors is an integer number (798330).

Almost surely, 2^41856000 is an apocalyptic number.

41856000 is a gapful number since it is divisible by the number (40) 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 41856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70253040).

41856000 is an abundant number, since it is smaller than the sum of its proper divisors (98650080).

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

41856000 is a wasteful number, since it uses less digits than its factorization.

41856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 119 counting only the distinct ones).

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

The square root of 41856000 is about 6469.6213181298. The cubic root of 41856000 is about 347.2049494222.

The spelling of 41856000 in words is "forty-one million, eight hundred fifty-six thousand".