1321424320 has 56 divisors (see below), whose sum is σ = 3176131824. Its totient is φ = 523616256.

The previous prime is 1321424281. The next prime is 1321424323. The reversal of 1321424320 is 234241231.

It is a junction number, because it is equal to n+sod(n) for n = 1321424291 and 1321424300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321424323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14944 + ... + 53536.

Almost surely, 2^1321424320 is an apocalyptic number.

1321424320 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 1321424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588065912).

1321424320 is an abundant number, since it is smaller than the sum of its proper divisors (1854707504).

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

1321424320 is a wasteful number, since it uses less digits than its factorization.

1321424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38717 (or 38707 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1321424320 is about 36351.4005232261. The cubic root of 1321424320 is about 1097.3557201589.

Adding to 1321424320 its reverse (234241231), we get a palindrome (1555665551).

The spelling of 1321424320 in words is "one billion, three hundred twenty-one million, four hundred twenty-four thousand, three hundred twenty".