41412234303200 has 144 divisors (see below), whose sum is σ = 103579112387520. Its totient is φ = 16158422016000.

The previous prime is 41412234303169. The next prime is 41412234303257. The reversal of 41412234303200 is 230343221414.

It is a congruent 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, 224292521 + ... + 224477079.

It is an arithmetic number, because the mean of its divisors is an integer number (719299391580).

Almost surely, 2^{41412234303200} is an apocalyptic number.

41412234303200 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 41412234303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51789556193760).

41412234303200 is an abundant number, since it is smaller than the sum of its proper divisors (62166878084320).

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

41412234303200 is a wasteful number, since it uses less digits than its factorization.

41412234303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191461 (or 191448 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 41412234303200 its reverse (230343221414), we get a palindrome (41642577524614).

The spelling of 41412234303200 in words is "forty-one trillion, four hundred twelve billion, two hundred thirty-four million, three hundred three thousand, two hundred".