4839583228800 has 384 divisors, whose sum is σ = 17091738201600. Its totient is φ = 1199262105600.

The previous prime is 4839583228789. The next prime is 4839583228853. The reversal of 4839583228800 is 88223859384.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 47 ways as a sum of consecutive naturals, for example, 12705115 + ... + 13080485.

It is an arithmetic number, because the mean of its divisors is an integer number (44509734900).

Almost surely, 2^{4839583228800} is an apocalyptic number.

4839583228800 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 4839583228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8545869100800).

4839583228800 is an abundant number, since it is smaller than the sum of its proper divisors (12252154972800).

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

4839583228800 is a wasteful number, since it uses less digits than its factorization.

4839583228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375494 (or 375477 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 60.

The spelling of 4839583228800 in words is "four trillion, eight hundred thirty-nine billion, five hundred eighty-three million, two hundred twenty-eight thousand, eight hundred".