4000663200 has 72 divisors (see below), whose sum is σ = 13022166528. Its totient is φ = 1066842880.

The previous prime is 4000663133. The next prime is 4000663201. The reversal of 4000663200 is 23660004.

4000663200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4000663201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 831072 + ... + 835871.

It is an arithmetic number, because the mean of its divisors is an integer number (180863424).

Almost surely, 2^4000663200 is an apocalyptic number.

4000663200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000663200 is an abundant number, since it is smaller than the sum of its proper divisors (9021503328).

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

4000663200 is a wasteful number, since it uses less digits than its factorization.

4000663200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666966 (or 1666953 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 4000663200 is about 63250.7960424215. The cubic root of 4000663200 is about 1587.4887774849.

The spelling of 4000663200 in words is "four billion, six hundred sixty-three thousand, two hundred".