1311071440 has 240 divisors, whose sum is σ = 3867609600. Its totient is φ = 410489856.

The previous prime is 1311071423. The next prime is 1311071453. The reversal of 1311071440 is 441701131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2159617 + ... + 2160223.

It is an arithmetic number, because the mean of its divisors is an integer number (16115040).

Almost surely, 2^1311071440 is an apocalyptic number.

1311071440 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 1311071440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933804800).

1311071440 is an abundant number, since it is smaller than the sum of its proper divisors (2556538160).

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

1311071440 is a wasteful number, since it uses less digits than its factorization.

1311071440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 1311071440 is about 36208.7204965876. The cubic root of 1311071440 is about 1094.4824086472.

Adding to 1311071440 its reverse (441701131), we get a palindrome (1752772571).

The spelling of 1311071440 in words is "one billion, three hundred eleven million, seventy-one thousand, four hundred forty".