41413112144200 has 96 divisors (see below), whose sum is σ = 99787777012800. Its totient is φ = 15964788752640.

The previous prime is 41413112144167. The next prime is 41413112144213. The reversal of 41413112144200 is 244121131414.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3354084 + ... + 9699283.

It is an arithmetic number, because the mean of its divisors is an integer number (1039456010550).

Almost surely, 2^{41413112144200} is an apocalyptic number.

41413112144200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41413112144200 is an abundant number, since it is smaller than the sum of its proper divisors (58374664868600).

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

41413112144200 is a wasteful number, since it uses less digits than its factorization.

41413112144200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13053959 (or 13053950 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 41413112144200 its reverse (244121131414), we get a palindrome (41657233275614).

The spelling of 41413112144200 in words is "forty-one trillion, four hundred thirteen billion, one hundred twelve million, one hundred forty-four thousand, two hundred".