1313144440 has 64 divisors (see below), whose sum is σ = 3019484160. Its totient is φ = 513838080.

The previous prime is 1313144381. The next prime is 1313144461. The reversal of 1313144440 is 444413131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369070 + ... + 372610.

It is an arithmetic number, because the mean of its divisors is an integer number (47179440).

Almost surely, 2^1313144440 is an apocalyptic number.

1313144440 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 1313144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509742080).

1313144440 is an abundant number, since it is smaller than the sum of its proper divisors (1706339720).

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

1313144440 is a wasteful number, since it uses less digits than its factorization.

1313144440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3752 (or 3748 counting only the distinct ones).

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

The square root of 1313144440 is about 36237.3348909657. The cubic root of 1313144440 is about 1095.0589516714.

Adding to 1313144440 its reverse (444413131), we get a palindrome (1757557571).

The spelling of 1313144440 in words is "one billion, three hundred thirteen million, one hundred forty-four thousand, four hundred forty".