1310424214440 has 256 divisors, whose sum is σ = 4550778961920. Its totient is φ = 298343485440.

The previous prime is 1310424214339. The next prime is 1310424214453. The reversal of 1310424214440 is 444124240131.

It is a happy number.

It is a super-2 number, since 2×1310424214440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1310424214398 and 1310424214407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10326657 + ... + 10452783.

It is an arithmetic number, because the mean of its divisors is an integer number (17776480320).

Almost surely, 2^{1310424214440} is an apocalyptic number.

1310424214440 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 1310424214440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275389480960).

1310424214440 is an abundant number, since it is smaller than the sum of its proper divisors (3240354747480).

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

1310424214440 is a wasteful number, since it uses less digits than its factorization.

1310424214440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126632 (or 126628 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 1310424214440 its reverse (444124240131), we get a palindrome (1754548454571).

The spelling of 1310424214440 in words is "one trillion, three hundred ten billion, four hundred twenty-four million, two hundred fourteen thousand, four hundred forty".