4005320000 has 140 divisors (see below), whose sum is σ = 10835981376. Its totient is φ = 1456320000.

The previous prime is 4005319999. The next prime is 4005320051. The reversal of 4005320000 is 235004.

4005320000 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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 435449 + ... + 444551.

Almost surely, 2^4005320000 is an apocalyptic number.

4005320000 is a gapful number since it is divisible by the number (40) 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 4005320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5417990688).

4005320000 is an abundant number, since it is smaller than the sum of its proper divisors (6830661376).

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

4005320000 is an equidigital number, since it uses as much as digits as its factorization.

4005320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9146 (or 9121 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 4005320000 is about 63287.5975211573. The cubic root of 4005320000 is about 1588.1044880034.

Adding to 4005320000 its reverse (235004), we get a palindrome (4005555004).

The spelling of 4005320000 in words is "four billion, five million, three hundred twenty thousand".