1311444320 has 48 divisors (see below), whose sum is σ = 3116903328. Its totient is φ = 521425920.

The previous prime is 1311444301. The next prime is 1311444331. The reversal of 1311444320 is 234441131.

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 7 ways as a sum of consecutive naturals, for example, 2180 + ... + 51260.

It is an arithmetic number, because the mean of its divisors is an integer number (64935486).

Almost surely, 2^1311444320 is an apocalyptic number.

1311444320 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 1311444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558451664).

1311444320 is an abundant number, since it is smaller than the sum of its proper divisors (1805459008).

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

1311444320 is a wasteful number, since it uses less digits than its factorization.

1311444320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49263 (or 49255 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 1311444320 is about 36213.8691663843. The cubic root of 1311444320 is about 1094.5861588838.

Adding to 1311444320 its reverse (234441131), we get a palindrome (1545885451).

The spelling of 1311444320 in words is "one billion, three hundred eleven million, four hundred forty-four thousand, three hundred twenty".