4213155200 has 192 divisors, whose sum is σ = 10768507200. Its totient is φ = 1627914240.

The previous prime is 4213155187. The next prime is 4213155227. The reversal of 4213155200 is 25513124.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16393472 + ... + 16393728.

It is an arithmetic number, because the mean of its divisors is an integer number (56085975).

Almost surely, 2^4213155200 is an apocalyptic number.

4213155200 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 4213155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5384253600).

4213155200 is an abundant number, since it is smaller than the sum of its proper divisors (6555352000).

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

4213155200 is a wasteful number, since it uses less digits than its factorization.

4213155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 4213155200 is about 64908.8222046896. The cubic root of 4213155200 is about 1615.1114122771. Note that the first 3 decimals are identical.

Adding to 4213155200 its reverse (25513124), we get a palindrome (4238668324).

The spelling of 4213155200 in words is "four billion, two hundred thirteen million, one hundred fifty-five thousand, two hundred".