4005234016 has 96 divisors (see below), whose sum is σ = 9288336960. Its totient is φ = 1665404928.

The previous prime is 4005233977. The next prime is 4005234019. The reversal of 4005234016 is 6104325004.

4005234016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005234019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11346096 + ... + 11346448.

It is an arithmetic number, because the mean of its divisors is an integer number (96753510).

Almost surely, 2^4005234016 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 4005234016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644168480).

4005234016 is an abundant number, since it is smaller than the sum of its proper divisors (5283102944).

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

4005234016 is an frugal number, since it uses more digits than its factorization.

4005234016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 4005234016 is about 63286.9182058978. The cubic root of 4005234016 is about 1588.0931237384.

The spelling of 4005234016 in words is "four billion, five million, two hundred thirty-four thousand, sixteen".