4005024000 has 144 divisors (see below), whose sum is σ = 13303006080. Its totient is φ = 1067980800.

The previous prime is 4005023993. The next prime is 4005024011. The reversal of 4005024000 is 4205004.

4005024000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 75141 + ... + 116859.

Almost surely, 2^4005024000 is an apocalyptic number.

4005024000 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 4005024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6651503040).

4005024000 is an abundant number, since it is smaller than the sum of its proper divisors (9297982080).

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

4005024000 is an equidigital number, since it uses as much as digits as its factorization.

4005024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41753 (or 41729 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 4005024000 is about 63285.2589470881. The cubic root of 4005024000 is about 1588.0653658268.

Adding to 4005024000 its reverse (4205004), we get a palindrome (4009229004).

The spelling of 4005024000 in words is "four billion, five million, twenty-four thousand".