4488800000000 has 432 divisors, whose sum is σ = 11645150287680. Its totient is φ = 1728000000000.

The previous prime is 4488799999979. The next prime is 4488800000029. The reversal of 4488800000000 is 88844.

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

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 35 ways as a sum of consecutive naturals, for example, 24799999910 + ... + 24800000090.

Almost surely, 2^{4488800000000} is an apocalyptic number.

4488800000000 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 4488800000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5822575143840).

4488800000000 is an abundant number, since it is smaller than the sum of its proper divisors (7156350287680).

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

4488800000000 is an frugal number, since it uses more digits than its factorization.

4488800000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 219 counting only the distinct ones).

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

Adding to 4488800000000 its reverse (88844), we get a palindrome (4488800088844).

The spelling of 4488800000000 in words is "four trillion, four hundred eighty-eight billion, eight hundred million", and thus it is an aban number.