4230881816000 has 448 divisors, whose sum is σ = 12116042864640. Its totient is φ = 1433534054400.

The previous prime is 4230881815999. The next prime is 4230881816047. The reversal of 4230881816000 is 6181880324.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2777991239 + ... + 2777992761.

Almost surely, 2^{4230881816000} is an apocalyptic number.

4230881816000 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 4230881816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6058021432320).

4230881816000 is an abundant number, since it is smaller than the sum of its proper divisors (7885161048640).

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

4230881816000 is a wasteful number, since it uses less digits than its factorization.

4230881816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The spelling of 4230881816000 in words is "four trillion, two hundred thirty billion, eight hundred eighty-one million, eight hundred sixteen thousand".