4211420200 has 192 divisors, whose sum is σ = 11256779520. Its totient is φ = 1451520000.

The previous prime is 4211420189. The next prime is 4211420201. The reversal of 4211420200 is 20241124.

It is not an unprimeable number, because it can be changed into a prime (4211420201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6673885 + ... + 6674515.

It is an arithmetic number, because the mean of its divisors is an integer number (58629060).

Almost surely, 2^4211420200 is an apocalyptic number.

4211420200 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 4211420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5628389760).

4211420200 is an abundant number, since it is smaller than the sum of its proper divisors (7045359320).

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

4211420200 is a wasteful number, since it uses less digits than its factorization.

4211420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4211420200 is about 64895.4559272065. The cubic root of 4211420200 is about 1614.8896779781.

Adding to 4211420200 its reverse (20241124), we get a palindrome (4231661324).

The spelling of 4211420200 in words is "four billion, two hundred eleven million, four hundred twenty thousand, two hundred".