4084800080000 has 320 divisors, whose sum is σ = 10465751387520. Its totient is φ = 1586757120000.

The previous prime is 4084800079981. The next prime is 4084800080071. The reversal of 4084800080000 is 800084804.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (32).

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 39 ways as a sum of consecutive naturals, for example, 492555854 + ... + 492564146.

It is an arithmetic number, because the mean of its divisors is an integer number (32705473086).

Almost surely, 2^{4084800080000} is an apocalyptic number.

4084800080000 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 4084800080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5232875693760).

4084800080000 is an abundant number, since it is smaller than the sum of its proper divisors (6380951307520).

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

4084800080000 is an equidigital number, since it uses as much as digits as its factorization.

4084800080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8505 (or 8478 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The spelling of 4084800080000 in words is "four trillion, eighty-four billion, eight hundred million, eighty thousand".