1310241040 has 160 divisors (see below), whose sum is σ = 3284075520. Its totient is φ = 485222400.

The previous prime is 1310241019. The next prime is 1310241047. The reversal of 1310241040 is 401420131.

It is a super-3 number, since 3×1310241040³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1310241047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10001775 + ... + 10001905.

It is an arithmetic number, because the mean of its divisors is an integer number (20525472).

Almost surely, 2^1310241040 is an apocalyptic number.

1310241040 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 1310241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642037760).

1310241040 is an abundant number, since it is smaller than the sum of its proper divisors (1973834480).

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

1310241040 is a wasteful number, since it uses less digits than its factorization.

1310241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1310241040 is about 36197.2518293862. The cubic root of 1310241040 is about 1094.2512872110.

Adding to 1310241040 its reverse (401420131), we get a palindrome (1711661171).

The spelling of 1310241040 in words is "one billion, three hundred ten million, two hundred forty-one thousand, forty".