4201267200 has 360 divisors, whose sum is σ = 15017247168. Its totient is φ = 1030225920.

The previous prime is 4201267129. The next prime is 4201267237. The reversal of 4201267200 is 27621024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15974269 + ... + 15974531.

Almost surely, 2^4201267200 is an apocalyptic number.

4201267200 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 4201267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7508623584).

4201267200 is an abundant number, since it is smaller than the sum of its proper divisors (10815979968).

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

4201267200 is a wasteful number, since it uses less digits than its factorization.

4201267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 4201267200 is about 64817.1829070039. The cubic root of 4201267200 is about 1613.5908945319.

Adding to 4201267200 its reverse (27621024), we get a palindrome (4228888224).

The spelling of 4201267200 in words is "four billion, two hundred one million, two hundred sixty-seven thousand, two hundred".