41143124343200 has 288 divisors, whose sum is σ = 112554401057280. Its totient is φ = 14554015027200.

The previous prime is 41143124343179. The next prime is 41143124343239. The reversal of 41143124343200 is 234342134114.

41143124343200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 2536090289 + ... + 2536106511.

It is an arithmetic number, because the mean of its divisors is an integer number (390813892560).

Almost surely, 2^{41143124343200} is an apocalyptic number.

41143124343200 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 41143124343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56277200528640).

41143124343200 is an abundant number, since it is smaller than the sum of its proper divisors (71411276714080).

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

41143124343200 is a wasteful number, since it uses less digits than its factorization.

41143124343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24080 (or 24067 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 41143124343200 its reverse (234342134114), we get a palindrome (41377466477314).

The spelling of 41143124343200 in words is "forty-one trillion, one hundred forty-three billion, one hundred twenty-four million, three hundred forty-three thousand, two hundred".