4048320000 has 200 divisors, whose sum is σ = 13480103736. Its totient is φ = 1079296000.

The previous prime is 4048319983. The next prime is 4048320013. The reversal of 4048320000 is 238404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 957892 + ... + 962108.

Almost surely, 2^4048320000 is an apocalyptic number.

4048320000 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 4048320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6740051868).

4048320000 is an abundant number, since it is smaller than the sum of its proper divisors (9431783736).

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

4048320000 is an frugal number, since it uses more digits than its factorization.

4048320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4258 (or 4227 counting only the distinct ones).

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

The square root of 4048320000 is about 63626.4096111041. The cubic root of 4048320000 is about 1593.7674200326.

Adding to 4048320000 its reverse (238404), we get a palindrome (4048558404).

The spelling of 4048320000 in words is "four billion, forty-eight million, three hundred twenty thousand".