4880804408800 has 144 divisors (see below), whose sum is σ = 11942116124400. Its totient is φ = 1947927388160.

The previous prime is 4880804408789. The next prime is 4880804408807. The reversal of 4880804408800 is 88044080884.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4880804408807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 756827976 + ... + 756834424.

It is an arithmetic number, because the mean of its divisors is an integer number (82931361975).

Almost surely, 2^{4880804408800} is an apocalyptic number.

4880804408800 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 4880804408800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5971058062200).

4880804408800 is an abundant number, since it is smaller than the sum of its proper divisors (7061311715600).

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

4880804408800 is a wasteful number, since it uses less digits than its factorization.

4880804408800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8453 (or 8440 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 52.

The spelling of 4880804408800 in words is "four trillion, eight hundred eighty billion, eight hundred four million, four hundred eight thousand, eight hundred".