4048544448 has 336 divisors, whose sum is σ = 13100645376. Its totient is φ = 1186928640.

The previous prime is 4048544429. The next prime is 4048544459. The reversal of 4048544448 is 8444458404.

4048544448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×4048544448⁴ (a number of 40 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24837615 + ... + 24837777.

It is an arithmetic number, because the mean of its divisors is an integer number (38990016).

Almost surely, 2^4048544448 is an apocalyptic number.

4048544448 is a gapful number since it is divisible by the number (48) 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 4048544448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6550322688).

4048544448 is an abundant number, since it is smaller than the sum of its proper divisors (9052100928).

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

4048544448 is a wasteful number, since it uses less digits than its factorization.

4048544448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 1310720, while the sum is 45.

The square root of 4048544448 is about 63628.1733825512. The cubic root of 4048544448 is about 1593.7968735095.

The spelling of 4048544448 in words is "four billion, forty-eight million, five hundred forty-four thousand, four hundred forty-eight".