4876182841344 has 192 divisors, whose sum is σ = 13782682368000. Its totient is φ = 1528764088320.

The previous prime is 4876182841331. The next prime is 4876182841367. The reversal of 4876182841344 is 4431482816784.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 16076049 + ... + 16376559.

It is an arithmetic number, because the mean of its divisors is an integer number (71784804000).

Almost surely, 2^{4876182841344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4876182841344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6891341184000).

4876182841344 is an abundant number, since it is smaller than the sum of its proper divisors (8906499526656).

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

4876182841344 is a wasteful number, since it uses less digits than its factorization.

4876182841344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300694 (or 300674 counting only the distinct ones).

The product of its digits is 33030144, while the sum is 60.

The spelling of 4876182841344 in words is "four trillion, eight hundred seventy-six billion, one hundred eighty-two million, eight hundred forty-one thousand, three hundred forty-four".