4241969200 has 360 divisors, whose sum is σ = 13015015200. Its totient is φ = 1318625280.

The previous prime is 4241969167. The next prime is 4241969239. The reversal of 4241969200 is 29691424.

It is a happy number.

4241969200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4241969200.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9662581 + ... + 9663019.

It is an arithmetic number, because the mean of its divisors is an integer number (36152820).

Almost surely, 2^4241969200 is an apocalyptic number.

4241969200 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 4241969200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6507507600).

4241969200 is an abundant number, since it is smaller than the sum of its proper divisors (8773046000).

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

4241969200 is a wasteful number, since it uses less digits than its factorization.

4241969200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 4241969200 is about 65130.4015034454. The cubic root of 4241969200 is about 1618.7849955911.

The spelling of 4241969200 in words is "four billion, two hundred forty-one million, nine hundred sixty-nine thousand, two hundred".