1307628842256 has 135 divisors (see below), whose sum is σ = 4022939032567. Its totient is φ = 396205423680.

The previous prime is 1307628842251. The next prime is 1307628842263. The reversal of 1307628842256 is 6522488267031.

The square root of 1307628842256 is 1143516.

It is a perfect power (a square), and thus also a powerful number.

1307628842256 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 628 + 8 + 4 + 2 + 2 + 5 + 6 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1307628842251) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 150939781 + ... + 150948443.

Almost surely, 2^{1307628842256} is an apocalyptic number.

1307628842256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1307628842256 is the 1143516-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1307628842256

1307628842256 is an abundant number, since it is smaller than the sum of its proper divisors (2715310190311).

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

1307628842256 is an frugal number, since it uses more digits than its factorization.

1307628842256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17362 (or 8679 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 1307628842256 in words is "one trillion, three hundred seven billion, six hundred twenty-eight million, eight hundred forty-two thousand, two hundred fifty-six".