1311740640 has 288 divisors, whose sum is σ = 5151444480. Its totient is φ = 297741312.

The previous prime is 1311740567. The next prime is 1311740653. The reversal of 1311740640 is 460471131.

It is a happy number.

1311740640 is a `hidden beast` number, since 1 + 3 + 1 + 17 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 1803957 + ... + 1804683.

It is an arithmetic number, because the mean of its divisors is an integer number (17886960).

Almost surely, 2^1311740640 is an apocalyptic number.

1311740640 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 1311740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575722240).

1311740640 is an abundant number, since it is smaller than the sum of its proper divisors (3839703840).

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

1311740640 is a wasteful number, since it uses less digits than its factorization.

1311740640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1311740640 is about 36217.9601855212. The cubic root of 1311740640 is about 1094.6685930215.

The spelling of 1311740640 in words is "one billion, three hundred eleven million, seven hundred forty thousand, six hundred forty".