4488558880000 has 540 divisors, whose sum is σ = 12236744660140. Its totient is φ = 1642647552000.

The previous prime is 4488558879943. The next prime is 4488558880061. The reversal of 4488558880000 is 888558844.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 30 ways, for example, as 510161633536 + 3978397246464 = 714256^2 + 1994592^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 39721759944 + ... + 39721760056.

Almost surely, 2^{4488558880000} is an apocalyptic number.

4488558880000 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 4488558880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6118372330070).

4488558880000 is an abundant number, since it is smaller than the sum of its proper divisors (7748185780140).

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

4488558880000 is an frugal number, since it uses more digits than its factorization.

4488558880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 13107200, while the sum is 58.

The spelling of 4488558880000 in words is "four trillion, four hundred eighty-eight billion, five hundred fifty-eight million, eight hundred eighty thousand".