4488048448800 has 288 divisors, whose sum is σ = 16697943263232. Its totient is φ = 1025692001280.

The previous prime is 4488048448789. The next prime is 4488048448811. The reversal of 4488048448800 is 88448408844.

It is an interprime number because it is at equal distance from previous prime (4488048448789) and next prime (4488048448811).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152915727 + ... + 152945073.

It is an arithmetic number, because the mean of its divisors is an integer number (57978969664).

Almost surely, 2^{4488048448800} is an apocalyptic number.

4488048448800 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 4488048448800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8348971631616).

4488048448800 is an abundant number, since it is smaller than the sum of its proper divisors (12209894814432).

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

4488048448800 is a wasteful number, since it uses less digits than its factorization.

4488048448800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38480 (or 38467 counting only the distinct ones).

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

The spelling of 4488048448800 in words is "four trillion, four hundred eighty-eight billion, forty-eight million, four hundred forty-eight thousand, eight hundred".