1330311244224 has 112 divisors (see below), whose sum is σ = 3621603441056. Its totient is φ = 430653542400.

The previous prime is 1330311244219. The next prime is 1330311244253. The reversal of 1330311244224 is 4224421130331.

It is a junction number, because it is equal to n+sod(n) for n = 1330311244191 and 1330311244200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3670194 + ... + 4016334.

Almost surely, 2^{1330311244224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330311244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810801720528).

1330311244224 is an abundant number, since it is smaller than the sum of its proper divisors (2291292196832).

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

1330311244224 is a wasteful number, since it uses less digits than its factorization.

1330311244224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346734 (or 346724 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 1330311244224 its reverse (4224421130331), we get a palindrome (5554732374555).

The spelling of 1330311244224 in words is "one trillion, three hundred thirty billion, three hundred eleven million, two hundred forty-four thousand, two hundred twenty-four".