1284005281104 has 960 divisors, whose sum is σ = 4772774522880. Its totient is φ = 321767147520.

The previous prime is 1284005281043. The next prime is 1284005281121. The reversal of 1284005281104 is 4011825004821.

1284005281104 is a `hidden beast` number, since 1 + 28 + 4 + 0 + 0 + 528 + 1 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2347358559 + ... + 2347359105.

It is an arithmetic number, because the mean of its divisors is an integer number (4971640128).

Almost surely, 2^{1284005281104} is an apocalyptic number.

1284005281104 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 1284005281104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386387261440).

1284005281104 is an abundant number, since it is smaller than the sum of its proper divisors (3488769241776).

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

1284005281104 is a wasteful number, since it uses less digits than its factorization.

1284005281104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 1284005281104 in words is "one trillion, two hundred eighty-four billion, five million, two hundred eighty-one thousand, one hundred four".