1305964830720 has 896 divisors, whose sum is σ = 4746085373952. Its totient is φ = 303877324800.

The previous prime is 1305964830713. The next prime is 1305964830721. The reversal of 1305964830720 is 270384695031.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1305964830720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305964830721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3875266392 + ... + 3875266728.

It is a 1-persistent number, because it is pandigital, but 2⋅1305964830720 = 2611929661440 is not.

Almost surely, 2^{1305964830720} is an apocalyptic number.

1305964830720 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 1305964830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373042686976).

1305964830720 is an abundant number, since it is smaller than the sum of its proper divisors (3440120543232).

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

1305964830720 is a wasteful number, since it uses less digits than its factorization.

1305964830720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 1305964830720 in words is "one trillion, three hundred five billion, nine hundred sixty-four million, eight hundred thirty thousand, seven hundred twenty".