1311963840 has 168 divisors, whose sum is σ = 4922965008. Its totient is φ = 318044160.

The previous prime is 1311963833. The next prime is 1311963859. The reversal of 1311963840 is 483691131.

1311963840 is a `hidden beast` number, since 1 + 3 + 1 + 19 + 638 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1311963795 and 1311963804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10974 + ... + 52386.

Almost surely, 2^1311963840 is an apocalyptic number.

1311963840 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 1311963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461482504).

1311963840 is an abundant number, since it is smaller than the sum of its proper divisors (3611001168).

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

1311963840 is a wasteful number, since it uses less digits than its factorization.

1311963840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41447 (or 41434 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1311963840 is about 36221.0413986125. The cubic root of 1311963840 is about 1094.7306774931.

The spelling of 1311963840 in words is "one billion, three hundred eleven million, nine hundred sixty-three thousand, eight hundred forty".