4005351008 has 144 divisors (see below), whose sum is σ = 8779428000. Its totient is φ = 1795368960.

The previous prime is 4005350989. The next prime is 4005351013. The reversal of 4005351008 is 8001535004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20127293 + ... + 20127491.

It is an arithmetic number, because the mean of its divisors is an integer number (60968250).

Almost surely, 2^4005351008 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 4005351008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389714000).

4005351008 is an abundant number, since it is smaller than the sum of its proper divisors (4774076992).

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

4005351008 is a wasteful number, since it uses less digits than its factorization.

4005351008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 4005351008 is about 63287.8424975919. The cubic root of 4005351008 is about 1588.1085862042.

The spelling of 4005351008 in words is "four billion, five million, three hundred fifty-one thousand, eight".