1311381408 has 48 divisors (see below), whose sum is σ = 3483871776. Its totient is φ = 431857920.

The previous prime is 1311381391. The next prime is 1311381413. The reversal of 1311381408 is 8041831131.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74323 + ... + 90258.

It is an arithmetic number, because the mean of its divisors is an integer number (72580662).

Almost surely, 2^1311381408 is an apocalyptic number.

It is an amenable number.

1311381408 is an abundant number, since it is smaller than the sum of its proper divisors (2172490368).

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

1311381408 is a wasteful number, since it uses less digits than its factorization.

1311381408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164677 (or 164669 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1311381408 is about 36213.0005384807. Note that the first 3 decimals coincide. The cubic root of 1311381408 is about 1094.5686556104.

The spelling of 1311381408 in words is "one billion, three hundred eleven million, three hundred eighty-one thousand, four hundred eight".