5441331200 has 126 divisors (see below), whose sum is σ = 13576968909. Its totient is φ = 2163179520.

The previous prime is 5441331187. The next prime is 5441331221. The reversal of 5441331200 is 21331445.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 5332504576 + 108826624 = 73024^2 + 10432^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=52160.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33382319 + ... + 33382481.

Almost surely, 2^5441331200 is an apocalyptic number.

5441331200 is a gapful number since it is divisible by the number (50) 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 5441331200

5441331200 is an abundant number, since it is smaller than the sum of its proper divisors (8135637709).

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

5441331200 is an frugal number, since it uses more digits than its factorization.

5441331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 5441331200 is about 73765.3794133806. The cubic root of 5441331200 is about 1758.8753145078.

Adding to 5441331200 its reverse (21331445), we get a palindrome (5462662645).

The spelling of 5441331200 in words is "five billion, four hundred forty-one million, three hundred thirty-one thousand, two hundred".