4141153200 has 120 divisors (see below), whose sum is σ = 13313786256. Its totient is φ = 1100288000.

The previous prime is 4141153169. The next prime is 4141153201. The reversal of 4141153200 is 23511414.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (4141153201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331060 + ... + 343340.

Almost surely, 2^4141153200 is an apocalyptic number.

4141153200 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 4141153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6656893128).

4141153200 is an abundant number, since it is smaller than the sum of its proper divisors (9172633056).

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

4141153200 is a wasteful number, since it uses less digits than its factorization.

4141153200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12583 (or 12572 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 4141153200 is about 64351.7925158266. The cubic root of 4141153200 is about 1605.8578502378.

Adding to 4141153200 its reverse (23511414), we get a palindrome (4164664614).

The spelling of 4141153200 in words is "four billion, one hundred forty-one million, one hundred fifty-three thousand, two hundred".