1320144000 has 256 divisors, whose sum is σ = 5002732800. Its totient is φ = 301670400.

The previous prime is 1320143983. The next prime is 1320144011. The reversal of 1320144000 is 4410231.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334036 + ... + 337964.

It is an arithmetic number, because the mean of its divisors is an integer number (19541925).

Almost surely, 2^1320144000 is an apocalyptic number.

1320144000 is a gapful number since it is divisible by the number (10) 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 1320144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501366400).

1320144000 is an abundant number, since it is smaller than the sum of its proper divisors (3682588800).

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

1320144000 is an equidigital number, since it uses as much as digits as its factorization.

1320144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1320144000 is about 36333.7859299028. The cubic root of 1320144000 is about 1097.0011985383.

Adding to 1320144000 its reverse (4410231), we get a palindrome (1324554231).

The spelling of 1320144000 in words is "one billion, three hundred twenty million, one hundred forty-four thousand".