1280668281984 has 1024 divisors, whose sum is σ = 5085197107200. Its totient is φ = 307596165120.

The previous prime is 1280668281889. The next prime is 1280668282007. The reversal of 1280668281984 is 4891828660821.

It is a super-2 number, since 2×1280668281984² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 165735529 + ... + 165743255.

It is an arithmetic number, because the mean of its divisors is an integer number (4966012800).

Almost surely, 2^{1280668281984} is an apocalyptic number.

1280668281984 is a gapful number since it is divisible by the number (14) 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 1280668281984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542598553600).

1280668281984 is an abundant number, since it is smaller than the sum of its proper divisors (3804528825216).

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

1280668281984 is a wasteful number, since it uses less digits than its factorization.

1280668281984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7818 (or 7800 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 1280668281984 in words is "one trillion, two hundred eighty billion, six hundred sixty-eight million, two hundred eighty-one thousand, nine hundred eighty-four".