4048320238404 has 192 divisors, whose sum is σ = 10850732605440. Its totient is φ = 1163708467200.

The previous prime is 4048320238357. The next prime is 4048320238471.

4048320238404 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 665948637 + ... + 665954715.

It is an arithmetic number, because the mean of its divisors is an integer number (56514232320).

Almost surely, 2^{4048320238404} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4048320238404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5425366302720).

4048320238404 is an abundant number, since it is smaller than the sum of its proper divisors (6802412367036).

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

4048320238404 is a wasteful number, since it uses less digits than its factorization.

4048320238404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7930 (or 7928 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 42.

The spelling of 4048320238404 in words is "four trillion, forty-eight billion, three hundred twenty million, two hundred thirty-eight thousand, four hundred four".