1311444200 has 96 divisors (see below), whose sum is σ = 3344785920. Its totient is φ = 474240000.

The previous prime is 1311444193. The next prime is 1311444203. The reversal of 1311444200 is 24441131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1311444203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418640 + ... + 421760.

It is an arithmetic number, because the mean of its divisors is an integer number (34841520).

Almost surely, 2^1311444200 is an apocalyptic number.

1311444200 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 1311444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672392960).

1311444200 is an abundant number, since it is smaller than the sum of its proper divisors (2033341720).

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

1311444200 is a wasteful number, since it uses less digits than its factorization.

1311444200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3339 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1311444200 is about 36213.8675095605. The cubic root of 1311444200 is about 1094.5861254982.

Adding to 1311444200 its reverse (24441131), we get a palindrome (1335885331).

The spelling of 1311444200 in words is "one billion, three hundred eleven million, four hundred forty-four thousand, two hundred".