4441200000 has 192 divisors, whose sum is σ = 14749212240. Its totient is φ = 1184000000.

The previous prime is 4441199993. The next prime is 4441200017. The reversal of 4441200000 is 21444.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

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, 1198150 + ... + 1201850.

Almost surely, 2^4441200000 is an apocalyptic number.

4441200000 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 4441200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7374606120).

4441200000 is an abundant number, since it is smaller than the sum of its proper divisors (10308012240).

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

4441200000 is an frugal number, since it uses more digits than its factorization.

4441200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3743 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4441200000 is about 66642.3288908784. The cubic root of 4441200000 is about 1643.7412110929.

Adding to 4441200000 its reverse (21444), we get a palindrome (4441221444).

The spelling of 4441200000 in words is "four billion, four hundred forty-one million, two hundred thousand".