1313414440 has 32 divisors (see below), whose sum is σ = 3182505480. Its totient is φ = 484952832.

The previous prime is 1313414393. The next prime is 1313414449. The reversal of 1313414440 is 444143131.

1313414440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1077546276 + 235868164 = 32826^2 + 15358^2 .

It is not an unprimeable number, because it can be changed into a prime (1313414449) by changing a digit.

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, 1262379 + ... + 1263418.

Almost surely, 2^1313414440 is an apocalyptic number.

1313414440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313414440 is an abundant number, since it is smaller than the sum of its proper divisors (1869091040).

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

1313414440 is a wasteful number, since it uses less digits than its factorization.

1313414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525821 (or 2525817 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 1313414440 is about 36241.0601390191. The cubic root of 1313414440 is about 1095.1339994336.

Adding to 1313414440 its reverse (444143131), we get a palindrome (1757557571).

The spelling of 1313414440 in words is "one billion, three hundred thirteen million, four hundred fourteen thousand, four hundred forty".