4048320000000 has 416 divisors, whose sum is σ = 13495917794112. Its totient is φ = 1079296000000.

The previous prime is 4048319999953. The next prime is 4048320000007. The reversal of 4048320000000 is 238404.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4048320000007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 959997892 + ... + 960002108.

It is an arithmetic number, because the mean of its divisors is an integer number (32442110082).

Almost surely, 2^{4048320000000} is an apocalyptic number.

4048320000000 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 4048320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6747958897056).

4048320000000 is an abundant number, since it is smaller than the sum of its proper divisors (9447597794112).

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

4048320000000 is an frugal number, since it uses more digits than its factorization.

4048320000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4279 (or 4227 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 4048320000000 its reverse (238404), we get a palindrome (4048320238404).

The spelling of 4048320000000 in words is "four trillion, forty-eight billion, three hundred twenty million", and thus it is an aban number.