1311342240 has 192 divisors, whose sum is σ = 4642396416. Its totient is φ = 308723712.

The previous prime is 1311342223. The next prime is 1311342259. The reversal of 1311342240 is 422431131.

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, 138952 + ... + 148088.

It is an arithmetic number, because the mean of its divisors is an integer number (24179148).

Almost surely, 2^1311342240 is an apocalyptic number.

1311342240 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 1311342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321198208).

1311342240 is an abundant number, since it is smaller than the sum of its proper divisors (3331054176).

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

1311342240 is a wasteful number, since it uses less digits than its factorization.

1311342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9191 (or 9183 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1311342240 is about 36212.4597341854. The cubic root of 1311342240 is about 1094.5577580709.

Adding to 1311342240 its reverse (422431131), we get a palindrome (1733773371).

The spelling of 1311342240 in words is "one billion, three hundred eleven million, three hundred forty-two thousand, two hundred forty".