41826816 has 120 divisors (see below), whose sum is σ = 125276580. Its totient is φ = 13418496.

The previous prime is 41826803. The next prime is 41826821. The reversal of 41826816 is 61862814.

It can be written as a sum of positive squares in 2 ways, for example, as 37161216 + 4665600 = 6096^2 + 2160^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 133476 + ... + 133788.

Almost surely, 2^41826816 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 41826816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62638290).

41826816 is an abundant number, since it is smaller than the sum of its proper divisors (83449764).

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

41826816 is a wasteful number, since it uses less digits than its factorization.

41826816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 347 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 41826816 is about 6467.3654605256. The cubic root of 41826816 is about 347.1242347084.

The spelling of 41826816 in words is "forty-one million, eight hundred twenty-six thousand, eight hundred sixteen".