4002064200 has 168 divisors, whose sum is σ = 13951325250. Its totient is φ = 1067178240.

The previous prime is 4002064141. The next prime is 4002064201. The reversal of 4002064200 is 24602004.

4002064200 is a `hidden beast` number, since 4 + 0 + 0 + 20 + 642 + 0 + 0 = 666.

4002064200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3382352964 + 619711236 = 58158^2 + 24894^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4002064201) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 132076 + ... + 159524.

Almost surely, 2^4002064200 is an apocalyptic number.

4002064200 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 4002064200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6975662625).

4002064200 is an abundant number, since it is smaller than the sum of its proper divisors (9949261050).

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

4002064200 is a wasteful number, since it uses less digits than its factorization.

4002064200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27483 (or 27459 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4002064200 is about 63261.8700324295. The cubic root of 4002064200 is about 1587.6740644485.

Adding to 4002064200 its reverse (24602004), we get a palindrome (4026666204).

The spelling of 4002064200 in words is "four billion, two million, sixty-four thousand, two hundred".