4005888000 has 272 divisors, whose sum is σ = 13413281856. Its totient is φ = 1061683200.

The previous prime is 4005887993. The next prime is 4005888011. The reversal of 4005888000 is 8885004.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24575919 + ... + 24576081.

Almost surely, 2^4005888000 is an apocalyptic number.

4005888000 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 4005888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6706640928).

4005888000 is an abundant number, since it is smaller than the sum of its proper divisors (9407393856).

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

4005888000 is an frugal number, since it uses more digits than its factorization.

4005888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 4005888000 is about 63292.0848131897. The cubic root of 4005888000 is about 1588.1795548905.

The spelling of 4005888000 in words is "four billion, five million, eight hundred eighty-eight thousand".