441313440 has 96 divisors (see below), whose sum is σ = 1404055296. Its totient is φ = 116505600.

The previous prime is 441313403. The next prime is 441313441. The reversal of 441313440 is 44313144.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 441313440.

It is not an unprimeable number, because it can be changed into a prime (441313441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 43929 + ... + 53031.

It is an arithmetic number, because the mean of its divisors is an integer number (14625576).

Almost surely, 2^441313440 is an apocalyptic number.

441313440 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 441313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702027648).

441313440 is an abundant number, since it is smaller than the sum of its proper divisors (962741856).

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

441313440 is a wasteful number, since it uses less digits than its factorization.

441313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9222 (or 9214 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 441313440 is about 21007.4615315606. The cubic root of 441313440 is about 761.3465509371.

Adding to 441313440 its reverse (44313144), we get a palindrome (485626584).

The spelling of 441313440 in words is "four hundred forty-one million, three hundred thirteen thousand, four hundred forty".