41042341342200 has 192 divisors, whose sum is σ = 138905276814720. Its totient is φ = 9941949504000.

The previous prime is 41042341342181. The next prime is 41042341342243. The reversal of 41042341342200 is 224314324014.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6112182 + ... + 10929018.

It is an arithmetic number, because the mean of its divisors is an integer number (723464983410).

Almost surely, 2^{41042341342200} is an apocalyptic number.

41042341342200 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 41042341342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69452638407360).

41042341342200 is an abundant number, since it is smaller than the sum of its proper divisors (97862935472520).

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

41042341342200 is a wasteful number, since it uses less digits than its factorization.

41042341342200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4818158 (or 4818149 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 41042341342200 its reverse (224314324014), we get a palindrome (41266655666214).

The spelling of 41042341342200 in words is "forty-one trillion, forty-two billion, three hundred forty-one million, three hundred forty-two thousand, two hundred".