4084879806000 has 1440 divisors, whose sum is σ = 17583400036800. Its totient is φ = 878808268800.

The previous prime is 4084879805977. The next prime is 4084879806017. The reversal of 4084879806000 is 6089784804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2899133296 + ... + 2899134704.

It is an arithmetic number, because the mean of its divisors is an integer number (12210694470).

Almost surely, 2^{4084879806000} is an apocalyptic number.

4084879806000 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 4084879806000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8791700018400).

4084879806000 is an abundant number, since it is smaller than the sum of its proper divisors (13498520230800).

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

4084879806000 is a wasteful number, since it uses less digits than its factorization.

4084879806000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 4084879806000 in words is "four trillion, eighty-four billion, eight hundred seventy-nine million, eight hundred six thousand".