4241041200 has 480 divisors, whose sum is σ = 17048908800. Its totient is φ = 991872000.

The previous prime is 4241041199. The next prime is 4241041201. The reversal of 4241041200 is 21401424.

4241041200 is a `hidden beast` number, since 424 + 1 + 0 + 41 + 200 = 666.

4241041200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4241041199) and next prime (4241041201).

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

It is not an unprimeable number, because it can be changed into a prime (4241041201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3444585 + ... + 3445815.

It is an arithmetic number, because the mean of its divisors is an integer number (35518560).

Almost surely, 2^4241041200 is an apocalyptic number.

4241041200 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 4241041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8524454400).

4241041200 is an abundant number, since it is smaller than the sum of its proper divisors (12807867600).

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

4241041200 is a wasteful number, since it uses less digits than its factorization.

4241041200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4241041200 is about 65123.2769445764. The cubic root of 4241041200 is about 1618.6669417688. Note that the first 3 decimals are identical.

Adding to 4241041200 its reverse (21401424), we get a palindrome (4262442624).

The spelling of 4241041200 in words is "four billion, two hundred forty-one million, forty-one thousand, two hundred".