4005313088 has 224 divisors, whose sum is σ = 10128138240. Its totient is φ = 1532805120.

The previous prime is 4005313087. The next prime is 4005313111. The reversal of 4005313088 is 8803135004.

It is a happy number.

4005313088 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 (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (4005313087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11346320 + ... + 11346672.

Almost surely, 2^4005313088 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 4005313088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5064069120).

4005313088 is an abundant number, since it is smaller than the sum of its proper divisors (6122825152).

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

4005313088 is a wasteful number, since it uses less digits than its factorization.

4005313088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 4005313088 is about 63287.5429132780. The cubic root of 4005313088 is about 1588.1035744697.

The spelling of 4005313088 in words is "four billion, five million, three hundred thirteen thousand, eighty-eight".