4982328388800 has 756 divisors, whose sum is σ = 21309950450880. Its totient is φ = 1099543818240.

The previous prime is 4982328388759. The next prime is 4982328388801. The reversal of 4982328388800 is 88838232894.

4982328388800 is a `hidden beast` number, since 498 + 2 + 32 + 8 + 38 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4982328388801) 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 107 ways as a sum of consecutive naturals, for example, 20340657 + ... + 20584143.

Almost surely, 2^{4982328388800} is an apocalyptic number.

4982328388800 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 4982328388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10654975225440).

4982328388800 is an abundant number, since it is smaller than the sum of its proper divisors (16327622062080).

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

4982328388800 is a wasteful number, since it uses less digits than its factorization.

4982328388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243558 (or 243533 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 4982328388800 in words is "four trillion, nine hundred eighty-two billion, three hundred twenty-eight million, three hundred eighty-eight thousand, eight hundred".