1280504243600 has 120 divisors (see below), whose sum is σ = 3162992693160. Its totient is φ = 497816616960.

The previous prime is 1280504243573. The next prime is 1280504243617. The reversal of 1280504243600 is 63424050821.

It can be written as a sum of positive squares in 12 ways, for example, as 660039255184 + 620464988416 = 812428^2 + 787696^2 .

It is a super-2 number, since 2×1280504243600² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13702634 + ... + 13795766.

It is an arithmetic number, because the mean of its divisors is an integer number (26358272443).

Almost surely, 2^{1280504243600} is an apocalyptic number.

1280504243600 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 1280504243600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581496346580).

1280504243600 is an abundant number, since it is smaller than the sum of its proper divisors (1882488449560).

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

1280504243600 is a wasteful number, since it uses less digits than its factorization.

1280504243600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94117 (or 94106 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 1280504243600 in words is "one trillion, two hundred eighty billion, five hundred four million, two hundred forty-three thousand, six hundred".