4132213200 has 360 divisors, whose sum is σ = 15069956096. Its totient is φ = 1047168000.

The previous prime is 4132213199. The next prime is 4132213207. The reversal of 4132213200 is 23122314.

4132213200 is a `hidden beast` number, since 413 + 221 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4132213207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6807297 + ... + 6807903.

Almost surely, 2^4132213200 is an apocalyptic number.

4132213200 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 4132213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7534978048).

4132213200 is an abundant number, since it is smaller than the sum of its proper divisors (10937742896).

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

4132213200 is a wasteful number, since it uses less digits than its factorization.

4132213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4132213200 is about 64282.2930518195. The cubic root of 4132213200 is about 1604.7014322201.

Adding to 4132213200 its reverse (23122314), we get a palindrome (4155335514).

The spelling of 4132213200 in words is "four billion, one hundred thirty-two million, two hundred thirteen thousand, two hundred".