4048076128 has 72 divisors (see below), whose sum is σ = 8296797600. Its totient is φ = 1944122880.

The previous prime is 4048076063. The next prime is 4048076171. The reversal of 4048076128 is 8216708404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9392073 + ... + 9392503.

It is an arithmetic number, because the mean of its divisors is an integer number (115233300).

Almost surely, 2^4048076128 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 4048076128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4148398800).

4048076128 is an abundant number, since it is smaller than the sum of its proper divisors (4248721472).

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

4048076128 is a wasteful number, since it uses less digits than its factorization.

4048076128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 4048076128 is about 63624.4931453289. The cubic root of 4048076128 is about 1593.7354163823.

The spelling of 4048076128 in words is "four billion, forty-eight million, seventy-six thousand, one hundred twenty-eight".