1314441201340 has 96 divisors (see below), whose sum is σ = 2970936702720. Its totient is φ = 487028422656.

The previous prime is 1314441201329. The next prime is 1314441201413. The reversal of 1314441201340 is 431021444131.

It is a junction number, because it is equal to n+sod(n) for n = 1314441201299 and 1314441201308.

It is a congruent number.

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, 2844559 + ... + 3274201.

It is an arithmetic number, because the mean of its divisors is an integer number (30947257320).

Almost surely, 2^{1314441201340} is an apocalyptic number.

1314441201340 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 1314441201340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485468351360).

1314441201340 is an abundant number, since it is smaller than the sum of its proper divisors (1656495501380).

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

1314441201340 is a wasteful number, since it uses less digits than its factorization.

1314441201340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429851 (or 429849 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 1314441201340 its reverse (431021444131), we get a palindrome (1745462645471).

The spelling of 1314441201340 in words is "one trillion, three hundred fourteen billion, four hundred forty-one million, two hundred one thousand, three hundred forty".