4002006000 has 160 divisors (see below), whose sum is σ = 13080644928. Its totient is φ = 1052467200.

The previous prime is 4002005999. The next prime is 4002006007. The reversal of 4002006000 is 6002004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002006007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433432 + ... + 442568.

Almost surely, 2^4002006000 is an apocalyptic number.

4002006000 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 4002006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6540322464).

4002006000 is an abundant number, since it is smaller than the sum of its proper divisors (9078638928).

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

4002006000 is a wasteful number, since it uses less digits than its factorization.

4002006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9236 (or 9220 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4002006000 is about 63261.4100380319. The cubic root of 4002006000 is about 1587.6663681636. Note that the first 3 decimals are identical.

Adding to 4002006000 its reverse (6002004), we get a palindrome (4008008004).

The spelling of 4002006000 in words is "four billion, two million, six thousand", and thus it is an eban number.