1305424382328 has 48 divisors (see below), whose sum is σ = 3856935677400. Its totient is φ = 395583145920.

The previous prime is 1305424382291. The next prime is 1305424382329. The reversal of 1305424382328 is 8232834245031.

1305424382328 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 4 + 243 + 82 + 328 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305424382329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 824130763 + ... + 824132346.

Almost surely, 2^{1305424382328} is an apocalyptic number.

1305424382328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1305424382328 is an abundant number, since it is smaller than the sum of its proper divisors (2551511295072).

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

1305424382328 is a wasteful number, since it uses less digits than its factorization.

1305424382328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648263132 (or 1648263125 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 1305424382328 in words is "one trillion, three hundred five billion, four hundred twenty-four million, three hundred eighty-two thousand, three hundred twenty-eight".