1321434004224 has 144 divisors (see below), whose sum is σ = 3613440186720. Its totient is φ = 428456017920.

The previous prime is 1321434004157. The next prime is 1321434004237. The reversal of 1321434004224 is 4224004341231.

It is a junction number, because it is equal to n+sod(n) for n = 1321434004191 and 1321434004200.

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, 10549192 + ... + 10673720.

It is an arithmetic number, because the mean of its divisors is an integer number (25093334630).

Almost surely, 2^{1321434004224} 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 1321434004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806720093360).

1321434004224 is an abundant number, since it is smaller than the sum of its proper divisors (2292006182496).

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

1321434004224 is a wasteful number, since it uses less digits than its factorization.

1321434004224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124926 (or 124912 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1321434004224 its reverse (4224004341231), we get a palindrome (5545438345455).

The spelling of 1321434004224 in words is "one trillion, three hundred twenty-one billion, four hundred thirty-four million, four thousand, two hundred twenty-four".