4013933568 has 176 divisors, whose sum is σ = 11171314176. Its totient is φ = 1279918080.

The previous prime is 4013933557. The next prime is 4013933603. The reversal of 4013933568 is 8653393104.

4013933568 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-2 number, since 2×4013933568² = 32223325376634421248, which contains 22 as substring.

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, 10761030 + ... + 10761402.

It is an arithmetic number, because the mean of its divisors is an integer number (63473376).

Almost surely, 2^4013933568 is an apocalyptic number.

4013933568 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 4013933568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5585657088).

4013933568 is an abundant number, since it is smaller than the sum of its proper divisors (7157380608).

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

4013933568 is a wasteful number, since it uses less digits than its factorization.

4013933568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 4013933568 is about 63355.6119692644. The cubic root of 4013933568 is about 1589.2420959692.

The spelling of 4013933568 in words is "four billion, thirteen million, nine hundred thirty-three thousand, five hundred sixty-eight".