41241212134200 has 288 divisors, whose sum is σ = 152329247179200. Its totient is φ = 9935689466880.

The previous prime is 41241212134183. The next prime is 41241212134237. The reversal of 41241212134200 is 243121214214.

41241212134200 is a `hidden beast` number, since 4 + 1 + 2 + 4 + 1 + 21 + 213 + 420 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17649615 + ... + 19849214.

It is an arithmetic number, because the mean of its divisors is an integer number (528920997150).

Almost surely, 2^{41241212134200} is an apocalyptic number.

41241212134200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41241212134200 is an abundant number, since it is smaller than the sum of its proper divisors (111088035045000).

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

41241212134200 is a wasteful number, since it uses less digits than its factorization.

41241212134200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37498911 (or 37498899 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 41241212134200 its reverse (243121214214), we get a palindrome (41484333348414).

The spelling of 41241212134200 in words is "forty-one trillion, two hundred forty-one billion, two hundred twelve million, one hundred thirty-four thousand, two hundred".