4213915200 has 504 divisors, whose sum is σ = 16803745920. Its totient is φ = 992563200.

The previous prime is 4213915187. The next prime is 4213915207. The reversal of 4213915200 is 25193124.

4213915200 is a `hidden beast` number, since 4 + 2 + 139 + 1 + 520 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4213915207) 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 71 ways as a sum of consecutive naturals, for example, 5860441 + ... + 5861159.

Almost surely, 2^4213915200 is an apocalyptic number.

4213915200 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 4213915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8401872960).

4213915200 is an abundant number, since it is smaller than the sum of its proper divisors (12589830720).

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

4213915200 is a wasteful number, since it uses less digits than its factorization.

4213915200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 4213915200 is about 64914.6763066720. The cubic root of 4213915200 is about 1615.2085216733.

The spelling of 4213915200 in words is "four billion, two hundred thirteen million, nine hundred fifteen thousand, two hundred".