4006002000 has 1280 divisors, whose sum is σ = 18718801920. Its totient is φ = 709632000.

The previous prime is 4006001999. The next prime is 4006002017. The reversal of 4006002000 is 2006004.

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 an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 138137986 + ... + 138138014.

It is an arithmetic number, because the mean of its divisors is an integer number (14624064).

Almost surely, 2^4006002000 is an apocalyptic number.

4006002000 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 4006002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9359400960).

4006002000 is an abundant number, since it is smaller than the sum of its proper divisors (14712799920).

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

4006002000 is a wasteful number, since it uses less digits than its factorization.

4006002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 93 counting only the distinct ones).

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

The square root of 4006002000 is about 63292.9853933278. The cubic root of 4006002000 is about 1588.1946202769.

Adding to 4006002000 its reverse (2006004), we get a palindrome (4008008004).

The spelling of 4006002000 in words is "four billion, six million, two thousand", and thus it is an eban number.