4882006008000 has 1344 divisors, whose sum is σ = 20460149738496. Its totient is φ = 1097994240000.

The previous prime is 4882006007993. The next prime is 4882006008023. The reversal of 4882006008000 is 8006002884.

4882006008000 is a `hidden beast` number, since 48 + 8 + 2 + 0 + 0 + 600 + 8 + 0 + 0 + 0 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 955941447 + ... + 955946553.

Almost surely, 2^{4882006008000} is an apocalyptic number.

4882006008000 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 4882006008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10230074869248).

4882006008000 is an abundant number, since it is smaller than the sum of its proper divisors (15578143730496).

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

4882006008000 is a wasteful number, since it uses less digits than its factorization.

4882006008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5239 (or 5216 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 4882006008000 in words is "four trillion, eight hundred eighty-two billion, six million, eight thousand".