4004200020 has 48 divisors (see below), whose sum is σ = 11314638720. Its totient is φ = 1057988736.

The previous prime is 4004200007. The next prime is 4004200037. The reversal of 4004200020 is 200024004.

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

It is a junction number, because it is equal to n+sod(n) for n = 4004199969 and 4004200005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299592 + ... + 312671.

It is an arithmetic number, because the mean of its divisors is an integer number (235721640).

Almost surely, 2^4004200020 is an apocalyptic number.

It is an amenable number.

4004200020 is an abundant number, since it is smaller than the sum of its proper divisors (7310438700).

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

4004200020 is a wasteful number, since it uses less digits than its factorization.

4004200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612384 (or 612382 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4004200020 is about 63278.7485653754. The cubic root of 4004200020 is about 1587.9564506369.

Adding to 4004200020 its reverse (200024004), we get a palindrome (4204224024).

The spelling of 4004200020 in words is "four billion, four million, two hundred thousand, twenty".