441041200 has 120 divisors (see below), whose sum is σ = 1137516480. Its totient is φ = 163737600.

The previous prime is 441041197. The next prime is 441041201. The reversal of 441041200 is 2140144.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (441041201) 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 23 ways as a sum of consecutive naturals, for example, 536790 + ... + 537610.

It is an arithmetic number, because the mean of its divisors is an integer number (9479304).

Almost surely, 2^441041200 is an apocalyptic number.

441041200 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 441041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568758240).

441041200 is an abundant number, since it is smaller than the sum of its proper divisors (696475280).

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

441041200 is a wasteful number, since it uses less digits than its factorization.

441041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 441041200 is about 21000.9809294709. The cubic root of 441041200 is about 761.1899641054.

Adding to 441041200 its reverse (2140144), we get a palindrome (443181344).

The spelling of 441041200 in words is "four hundred forty-one million, forty-one thousand, two hundred".