1321456320 has 168 divisors, whose sum is σ = 4579345680. Its totient is φ = 349747200.

The previous prime is 1321456309. The next prime is 1321456333. The reversal of 1321456320 is 236541231.

1321456320 is a `hidden beast` number, since 1 + 3 + 21 + 4 + 5 + 632 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 398670 + ... + 401970.

It is an arithmetic number, because the mean of its divisors is an integer number (27258010).

Almost surely, 2^1321456320 is an apocalyptic number.

1321456320 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 1321456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289672840).

1321456320 is an abundant number, since it is smaller than the sum of its proper divisors (3257889360).

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

1321456320 is a wasteful number, since it uses less digits than its factorization.

1321456320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3463 (or 3450 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1321456320 is about 36351.8406686649. The cubic root of 1321456320 is about 1097.3645780504.

Adding to 1321456320 its reverse (236541231), we get a palindrome (1557997551).

The spelling of 1321456320 in words is "one billion, three hundred twenty-one million, four hundred fifty-six thousand, three hundred twenty".