1311448320 has 720 divisors, whose sum is σ = 5817060480. Its totient is φ = 274710528.

The previous prime is 1311448277. The next prime is 1311448321. The reversal of 1311448320 is 238441131.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311448321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9434811 + ... + 9434949.

Almost surely, 2^1311448320 is an apocalyptic number.

1311448320 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 1311448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908530240).

1311448320 is an abundant number, since it is smaller than the sum of its proper divisors (4505612160).

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

1311448320 is a wasteful number, since it uses less digits than its factorization.

1311448320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1311448320 is about 36213.9243938019. The cubic root of 1311448320 is about 1094.5872717384.

Adding to 1311448320 its reverse (238441131), we get a palindrome (1549889451).

The spelling of 1311448320 in words is "one billion, three hundred eleven million, four hundred forty-eight thousand, three hundred twenty".