4113141013200 has 240 divisors, whose sum is σ = 13529840520896. Its totient is φ = 1067732582400.

The previous prime is 4113141013187. The next prime is 4113141013211. The reversal of 4113141013200 is 23101413114.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6810759 + ... + 7390041.

Almost surely, 2^{4113141013200} is an apocalyptic number.

4113141013200 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 4113141013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764920260448).

4113141013200 is an abundant number, since it is smaller than the sum of its proper divisors (9416699507696).

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

4113141013200 is a wasteful number, since it uses less digits than its factorization.

4113141013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579462 (or 579451 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 4113141013200 its reverse (23101413114), we get a palindrome (4136242426314).

The spelling of 4113141013200 in words is "four trillion, one hundred thirteen billion, one hundred forty-one million, thirteen thousand, two hundred".