4048121568 has 96 divisors (see below), whose sum is σ = 10783342080. Its totient is φ = 1329546240.

The previous prime is 4048121537. The next prime is 4048121591. The reversal of 4048121568 is 8651218404.

4048121568 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3135003 + ... + 3136293.

It is an arithmetic number, because the mean of its divisors is an integer number (112326480).

Almost surely, 2^4048121568 is an apocalyptic number.

4048121568 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 4048121568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5391671040).

4048121568 is an abundant number, since it is smaller than the sum of its proper divisors (6735220512).

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

4048121568 is a wasteful number, since it uses less digits than its factorization.

4048121568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 4048121568 is about 63624.8502395094. The cubic root of 4048121568 is about 1593.7413796320.

The spelling of 4048121568 in words is "four billion, forty-eight million, one hundred twenty-one thousand, five hundred sixty-eight".