1340338320 has 320 divisors, whose sum is σ = 4903495680. Its totient is φ = 335923200.

The previous prime is 1340338319. The next prime is 1340338343. The reversal of 1340338320 is 238330431.

1340338320 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 338 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2477250 + ... + 2477790.

It is an arithmetic number, because the mean of its divisors is an integer number (15323424).

Almost surely, 2^1340338320 is an apocalyptic number.

1340338320 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 1340338320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451747840).

1340338320 is an abundant number, since it is smaller than the sum of its proper divisors (3563157360).

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

1340338320 is a wasteful number, since it uses less digits than its factorization.

1340338320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 1340338320 is about 36610.6312428508. The cubic root of 1340338320 is about 1102.5665469573.

Adding to 1340338320 its reverse (238330431), we get a palindrome (1578668751).

The spelling of 1340338320 in words is "one billion, three hundred forty million, three hundred thirty-eight thousand, three hundred twenty".