4084484044800 has 288 divisors, whose sum is σ = 13556653568640. Its totient is φ = 1084846080000.

The previous prime is 4084484044789. The next prime is 4084484044841. The reversal of 4084484044800 is 84404844804.

4084484044800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4084484044800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38500629 + ... + 38606571.

It is an arithmetic number, because the mean of its divisors is an integer number (47071713780).

Almost surely, 2^{4084484044800} is an apocalyptic number.

4084484044800 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 4084484044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6778326784320).

4084484044800 is an abundant number, since it is smaller than the sum of its proper divisors (9472169523840).

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

4084484044800 is a wasteful number, since it uses less digits than its factorization.

4084484044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106229 (or 106204 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 48.

The spelling of 4084484044800 in words is "four trillion, eighty-four billion, four hundred eighty-four million, forty-four thousand, eight hundred".