1311383040 has 480 divisors, whose sum is σ = 4939076736. Its totient is φ = 294174720.

The previous prime is 1311383039. The next prime is 1311383053. The reversal of 1311383040 is 403831131.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1311383040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30497259 + ... + 30497301.

Almost surely, 2^1311383040 is an apocalyptic number.

1311383040 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 1311383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469538368).

1311383040 is an abundant number, since it is smaller than the sum of its proper divisors (3627693696).

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

1311383040 is a wasteful number, since it uses less digits than its factorization.

1311383040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1311383040 is about 36213.0230718177. The cubic root of 1311383040 is about 1094.5691096698.

The spelling of 1311383040 in words is "one billion, three hundred eleven million, three hundred eighty-three thousand, forty".