4241374200 has 288 divisors, whose sum is σ = 17237244960. Its totient is φ = 912384000.

The previous prime is 4241374147. The next prime is 4241374201. The reversal of 4241374200 is 24731424.

4241374200 is a `hidden beast` number, since 42 + 413 + 7 + 4 + 200 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4241374201) 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, 204300 + ... + 224100.

It is an arithmetic number, because the mean of its divisors is an integer number (59851545).

Almost surely, 2^4241374200 is an apocalyptic number.

4241374200 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 4241374200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8618622480).

4241374200 is an abundant number, since it is smaller than the sum of its proper divisors (12995870760).

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

4241374200 is a wasteful number, since it uses less digits than its factorization.

4241374200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19847 (or 19835 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4241374200 is about 65125.8335839166. The cubic root of 4241374200 is about 1618.7093057355.

The spelling of 4241374200 in words is "four billion, two hundred forty-one million, three hundred seventy-four thousand, two hundred".