1310243040 has 480 divisors, whose sum is σ = 5170223520. Its totient is φ = 310542336.

The previous prime is 1310243009. The next prime is 1310243041. The reversal of 1310243040 is 403420131.

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310243041) 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 79 ways as a sum of consecutive naturals, for example, 4185924 + ... + 4186236.

It is an arithmetic number, because the mean of its divisors is an integer number (10771299).

Almost surely, 2^1310243040 is an apocalyptic number.

1310243040 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 1310243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585111760).

1310243040 is an abundant number, since it is smaller than the sum of its proper divisors (3859980480).

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

1310243040 is a wasteful number, since it uses less digits than its factorization.

1310243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1310243040 is about 36197.2794557823. The cubic root of 1310243040 is about 1094.2518439792.

Adding to 1310243040 its reverse (403420131), we get a palindrome (1713663171).

The spelling of 1310243040 in words is "one billion, three hundred ten million, two hundred forty-three thousand, forty".