4013933616 has 800 divisors, whose sum is σ = 15988262400. Its totient is φ = 940584960.

The previous prime is 4013933603. The next prime is 4013933647. The reversal of 4013933616 is 6163393104.

4013933616 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 9 + 33 + 616 = 666.

It is a super-2 number, since 2×4013933616² = 32223326147309670912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 54985356 + ... + 54985428.

It is an arithmetic number, because the mean of its divisors is an integer number (19985328).

Almost surely, 2^4013933616 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 4013933616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7994131200).

4013933616 is an abundant number, since it is smaller than the sum of its proper divisors (11974328784).

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

4013933616 is a wasteful number, since it uses less digits than its factorization.

4013933616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 4013933616 is about 63355.6123480785. The cubic root of 4013933616 is about 1589.2421023041.

The spelling of 4013933616 in words is "four billion, thirteen million, nine hundred thirty-three thousand, six hundred sixteen".