4002000020 has 48 divisors (see below), whose sum is σ = 8852457600. Its totient is φ = 1515530880.

The previous prime is 4002000019. The next prime is 4002000053. The reversal of 4002000020 is 200002004.

4002000020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4001999971 and 4002000007.

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, 811121 + ... + 816039.

It is an arithmetic number, because the mean of its divisors is an integer number (184426200).

Almost surely, 2^4002000020 is an apocalyptic number.

It is an amenable number.

4002000020 is an abundant number, since it is smaller than the sum of its proper divisors (4850457580).

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

4002000020 is a wasteful number, since it uses less digits than its factorization.

4002000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7088 (or 7086 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 4002000020 is about 63261.3627738132. The cubic root of 4002000020 is about 1587.6655773728.

Adding to 4002000020 its reverse (200002004), we get a palindrome (4202002024).

The spelling of 4002000020 in words is "four billion, two million, twenty", and thus it is an aban number.