1305320510340 has 288 divisors, whose sum is σ = 4940062283520. Its totient is φ = 271038873600.

The previous prime is 1305320510339. The next prime is 1305320510383. The reversal of 1305320510340 is 430150235031.

1305320510340 is a `hidden beast` number, since 1 + 305 + 3 + 2 + 0 + 5 + 10 + 340 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19495320 + ... + 19562160.

It is an arithmetic number, because the mean of its divisors is an integer number (17152994040).

Almost surely, 2^{1305320510340} is an apocalyptic number.

1305320510340 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 1305320510340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470031141760).

1305320510340 is an abundant number, since it is smaller than the sum of its proper divisors (3634741773180).

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

1305320510340 is a wasteful number, since it uses less digits than its factorization.

1305320510340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68283 (or 68278 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 1305320510340 its reverse (430150235031), we get a palindrome (1735470745371).

The spelling of 1305320510340 in words is "one trillion, three hundred five billion, three hundred twenty million, five hundred ten thousand, three hundred forty".