1321314240 has 224 divisors, whose sum is σ = 4482754560. Its totient is φ = 329011200.

The previous prime is 1321314227. The next prime is 1321314287. The reversal of 1321314240 is 424131231.

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, 862275 + ... + 863805.

Almost surely, 2^1321314240 is an apocalyptic number.

1321314240 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 1321314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241377280).

1321314240 is an abundant number, since it is smaller than the sum of its proper divisors (3161440320).

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

1321314240 is a wasteful number, since it uses less digits than its factorization.

1321314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1321314240 is about 36349.8863822158. The cubic root of 1321314240 is about 1097.3252479202.

Adding to 1321314240 its reverse (424131231), we get a palindrome (1745445471).

The spelling of 1321314240 in words is "one billion, three hundred twenty-one million, three hundred fourteen thousand, two hundred forty".