4284408570880 has 352 divisors, whose sum is σ = 10764337824000. Its totient is φ = 1634620538880.

The previous prime is 4284408570833. The next prime is 4284408570887. The reversal of 4284408570880 is 880758044824.

It is not an unprimeable number, because it can be changed into a prime (4284408570887) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5766363789 + ... + 5766364531.

Almost surely, 2^{4284408570880} is an apocalyptic number.

4284408570880 is a gapful number since it is divisible by the number (40) 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 4284408570880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5382168912000).

4284408570880 is an abundant number, since it is smaller than the sum of its proper divisors (6479929253120).

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

4284408570880 is a wasteful number, since it uses less digits than its factorization.

4284408570880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 18350080, while the sum is 58.

The spelling of 4284408570880 in words is "four trillion, two hundred eighty-four billion, four hundred eight million, five hundred seventy thousand, eight hundred eighty".