1309056712704 has 600 divisors, whose sum is σ = 4396178001600. Its totient is φ = 385157431296.

The previous prime is 1309056712643. The next prime is 1309056712723. The reversal of 1309056712704 is 4072176509031.

1309056712704 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 0 + 567 + 12 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1309056712704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 396802447 + ... + 396805745.

It is an arithmetic number, because the mean of its divisors is an integer number (7326963336).

Almost surely, 2^{1309056712704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1309056712704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198089000800).

1309056712704 is an abundant number, since it is smaller than the sum of its proper divisors (3087121288896).

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

1309056712704 is an equidigital number, since it uses as much as digits as its factorization.

1309056712704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 1309056712704 in words is "one trillion, three hundred nine billion, fifty-six million, seven hundred twelve thousand, seven hundred four".