1280247441408 has 960 divisors, whose sum is σ = 4459169594880. Its totient is φ = 362373709824.

The previous prime is 1280247441379. The next prime is 1280247441433. The reversal of 1280247441408 is 8041447420821.

1280247441408 is a `hidden beast` number, since 128 + 0 + 2 + 47 + 441 + 40 + 8 = 666.

It is a super-2 number, since 2×1280247441408² (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 (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1723078285 + ... + 1723079027.

It is an arithmetic number, because the mean of its divisors is an integer number (4644968328).

Almost surely, 2^{1280247441408} is an apocalyptic number.

1280247441408 is a gapful number since it is divisible by the number (18) 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 1280247441408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229584797440).

1280247441408 is an abundant number, since it is smaller than the sum of its proper divisors (3178922153472).

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

1280247441408 is a wasteful number, since it uses less digits than its factorization.

1280247441408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 1280247441408 in words is "one trillion, two hundred eighty billion, two hundred forty-seven million, four hundred forty-one thousand, four hundred eight".