41261111124200 has 96 divisors (see below), whose sum is σ = 106127170729920. Its totient is φ = 14792715840000.

The previous prime is 41261111124169. The next prime is 41261111124281. The reversal of 41261111124200 is 242111116214.

It is a happy number.

41261111124200 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 41261111124200.

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 23 ways as a sum of consecutive naturals, for example, 131921621 + ... + 132234020.

It is an arithmetic number, because the mean of its divisors is an integer number (1105491361770).

Almost surely, 2^{41261111124200} is an apocalyptic number.

41261111124200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41261111124200 is an abundant number, since it is smaller than the sum of its proper divisors (64866059605720).

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

41261111124200 is a wasteful number, since it uses less digits than its factorization.

41261111124200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264155739 (or 264155730 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The spelling of 41261111124200 in words is "forty-one trillion, two hundred sixty-one billion, one hundred eleven million, one hundred twenty-four thousand, two hundred".