4013278848 has 192 divisors, whose sum is σ = 12042201600. Its totient is φ = 1281484800.

The previous prime is 4013278813. The next prime is 4013278849. The reversal of 4013278848 is 8488723104.

4013278848 is digitally balanced in base 2, because in such base 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 (192).

It is a super-2 number, since 2×4013278848² = 32212814223608414208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4013278849) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3892093 + ... + 3893123.

It is an arithmetic number, because the mean of its divisors is an integer number (62719800).

Almost surely, 2^4013278848 is an apocalyptic number.

4013278848 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 4013278848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6021100800).

4013278848 is an abundant number, since it is smaller than the sum of its proper divisors (8028922752).

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

4013278848 is a wasteful number, since it uses less digits than its factorization.

4013278848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 4013278848 is about 63350.4447340348. Note that the first 3 decimals coincide. The cubic root of 4013278848 is about 1589.1556832151.

The spelling of 4013278848 in words is "four billion, thirteen million, two hundred seventy-eight thousand, eight hundred forty-eight".