4441441200 has 240 divisors, whose sum is σ = 16347763200. Its totient is φ = 1009704960.

The previous prime is 4441441127. The next prime is 4441441211. The reversal of 4441441200 is 21441444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 1670272 + ... + 1672928.

It is an arithmetic number, because the mean of its divisors is an integer number (68115680).

Almost surely, 2^4441441200 is an apocalyptic number.

4441441200 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 4441441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8173881600).

4441441200 is an abundant number, since it is smaller than the sum of its proper divisors (11906322000).

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

4441441200 is a wasteful number, since it uses less digits than its factorization.

4441441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4441441200 is about 66644.1385269552. The cubic root of 4441441200 is about 1643.7709675553.

Adding to 4441441200 its reverse (21441444), we get a palindrome (4462882644).

The spelling of 4441441200 in words is "four billion, four hundred forty-one million, four hundred forty-one thousand, two hundred".