4880884444800 has 768 divisors, whose sum is σ = 19851896064000. Its totient is φ = 1026402140160.

The previous prime is 4880884444771. The next prime is 4880884444831. The reversal of 4880884444800 is 84444880884.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 95 ways as a sum of consecutive naturals, for example, 268186101 + ... + 268204299.

It is an arithmetic number, because the mean of its divisors is an integer number (25848823000).

Almost surely, 2^{4880884444800} is an apocalyptic number.

4880884444800 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 4880884444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9925948032000).

4880884444800 is an abundant number, since it is smaller than the sum of its proper divisors (14971011619200).

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

4880884444800 is a wasteful number, since it uses less digits than its factorization.

4880884444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18553 (or 18536 counting only the distinct ones).

The product of its (nonzero) digits is 33554432, while the sum is 60.

The spelling of 4880884444800 in words is "four trillion, eight hundred eighty billion, eight hundred eighty-four million, four hundred forty-four thousand, eight hundred".