4000200000 has 336 divisors, whose sum is σ = 13572256320. Its totient is φ = 1039360000.

The previous prime is 4000199971. The next prime is 4000200031. The reversal of 4000200000 is 20004.

4000200000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35399944 + ... + 35400056.

It is an arithmetic number, because the mean of its divisors is an integer number (40393620).

Almost surely, 2^4000200000 is an apocalyptic number.

4000200000 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 4000200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6786128160).

4000200000 is an abundant number, since it is smaller than the sum of its proper divisors (9572056320).

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

4000200000 is an equidigital number, since it uses as much as digits as its factorization.

4000200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 182 counting only the distinct ones).

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

The square root of 4000200000 is about 63247.1343224339. The cubic root of 4000200000 is about 1587.4275082115.

Adding to 4000200000 its reverse (20004), we get a palindrome (4000220004).

The spelling of 4000200000 in words is "four billion, two hundred thousand".