41441100 has 72 divisors (see below), whose sum is σ = 121117248. Its totient is φ = 10939200.

The previous prime is 41441083. The next prime is 41441111. The reversal of 41441100 is 114414.

41441100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 41441100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31455 + ... + 32745.

It is an arithmetic number, because the mean of its divisors is an integer number (1682184).

Almost surely, 2^41441100 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 41441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60558624).

41441100 is an abundant number, since it is smaller than the sum of its proper divisors (79676148).

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

41441100 is a wasteful number, since it uses less digits than its factorization.

41441100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 41441100 is about 6437.4762135483. The cubic root of 41441100 is about 346.0539080917.

Adding to 41441100 its reverse (114414), we get a palindrome (41555514).

It can be divided in two parts, 414 and 41100, that added together give a palindrome (41514).

The spelling of 41441100 in words is "forty-one million, four hundred forty-one thousand, one hundred".