1260733734976 has 189 divisors, whose sum is σ = 2702931836061. Its totient is φ = 583365454848.

The previous prime is 1260733734937. The next prime is 1260733735003. The reversal of 1260733734976 is 6794373370621.

The square root of 1260733734976 is 1122824.

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

It can be written as a sum of positive squares in only one way, i.e., 242087616576 + 1018646118400 = 492024^2 + 1009280^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1260733734976.

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 26 ways as a sum of consecutive naturals, for example, 14165547540 + ... + 14165547628.

Almost surely, 2^{1260733734976} is an apocalyptic number.

1260733734976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1260733734976 is the 1122824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1260733734976

1260733734976 is an abundant number, since it is smaller than the sum of its proper divisors (1442198101085).

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

1260733734976 is an frugal number, since it uses more digits than its factorization.

1260733734976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 58.

The spelling of 1260733734976 in words is "one trillion, two hundred sixty billion, seven hundred thirty-three million, seven hundred thirty-four thousand, nine hundred seventy-six".