4122835200 has 648 divisors, whose sum is σ = 16744824096. Its totient is φ = 995328000.

The previous prime is 4122835193. The next prime is 4122835231. The reversal of 4122835200 is 25382214.

4122835200 is a `hidden beast` number, since 41 + 22 + 83 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 71 ways as a sum of consecutive naturals, for example, 17107080 + ... + 17107320.

Almost surely, 2^4122835200 is an apocalyptic number.

4122835200 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 4122835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8372412048).

4122835200 is an abundant number, since it is smaller than the sum of its proper divisors (12621988896).

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

4122835200 is a wasteful number, since it uses less digits than its factorization.

4122835200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4122835200 is about 64209.3077364956. The cubic root of 4122835200 is about 1603.4865635696.

The spelling of 4122835200 in words is "four billion, one hundred twenty-two million, eight hundred thirty-five thousand, two hundred".