41001066 has 40 divisors (see below), whose sum is σ = 94128804. Its totient is φ = 13331520.

The previous prime is 41001053. The next prime is 41001067. The reversal of 41001066 is 66010014.

It can be written as a sum of positive squares in 2 ways, for example, as 26780625 + 14220441 = 5175^2 + 3771^2 .

It is a super-3 number, since 3×41001066³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (41001067) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 3556 + ... + 9728.

Almost surely, 2^41001066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41001066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47064402).

41001066 is an abundant number, since it is smaller than the sum of its proper divisors (53127738).

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

41001066 is a wasteful number, since it uses less digits than its factorization.

41001066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6228 (or 6219 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 41001066 is about 6403.2074775069. The cubic root of 41001066 is about 344.8247124673.

The spelling of 41001066 in words is "forty-one million, one thousand, sixty-six".