4284432302656 has 224 divisors, whose sum is σ = 9932264737920. Its totient is φ = 1812116275200.

The previous prime is 4284432302641. The next prime is 4284432302851. The reversal of 4284432302656 is 6562032344824.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 566645116 + ... + 566652676.

It is an arithmetic number, because the mean of its divisors is an integer number (44340467580).

Almost surely, 2^{4284432302656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4284432302656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4966132368960).

4284432302656 is an abundant number, since it is smaller than the sum of its proper divisors (5647832435264).

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

4284432302656 is a wasteful number, since it uses less digits than its factorization.

4284432302656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8133 (or 8123 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 49.

The spelling of 4284432302656 in words is "four trillion, two hundred eighty-four billion, four hundred thirty-two million, three hundred two thousand, six hundred fifty-six".