1310440240320 has 224 divisors, whose sum is σ = 4182652064448. Its totient is φ = 347605696512.

The previous prime is 1310440240313. The next prime is 1310440240331. The reversal of 1310440240320 is 230420440131.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290110702 + ... + 290115218.

Almost surely, 2^{1310440240320} is an apocalyptic number.

1310440240320 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 1310440240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091326032224).

1310440240320 is an abundant number, since it is smaller than the sum of its proper divisors (2872211824128).

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

1310440240320 is a wasteful number, since it uses less digits than its factorization.

1310440240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6067 (or 6057 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1310440240320 its reverse (230420440131), we get a palindrome (1540860680451).

The spelling of 1310440240320 in words is "one trillion, three hundred ten billion, four hundred forty million, two hundred forty thousand, three hundred twenty".