4000020000 has 240 divisors, whose sum is σ = 13233638880. Its totient is φ = 1057536000.

The previous prime is 4000019987. The next prime is 4000020007. The reversal of 4000020000 is 200004.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is not an unprimeable number, because it can be changed into a prime (4000020007) 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 39 ways as a sum of consecutive naturals, for example, 9779796 + ... + 9780204.

It is an arithmetic number, because the mean of its divisors is an integer number (55140162).

Almost surely, 2^4000020000 is an apocalyptic number.

4000020000 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 4000020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6616819440).

4000020000 is an abundant number, since it is smaller than the sum of its proper divisors (9233618880).

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

4000020000 is a wasteful number, since it uses less digits than its factorization.

4000020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 4000020000 is about 63245.7113170530. The cubic root of 4000020000 is about 1587.4036976322.

Adding to 4000020000 its reverse (200004), we get a palindrome (4000220004).

The spelling of 4000020000 in words is "four billion, twenty thousand".