41412233200 has 180 divisors, whose sum is σ = 108475112208. Its totient is φ = 15185664000.

The previous prime is 41412233143. The next prime is 41412233201. The reversal of 41412233200 is 233221414.

It is a super-2 number, since 2×41412233200² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41412233201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10205572 + ... + 10209628.

Almost surely, 2^41412233200 is an apocalyptic number.

41412233200 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 41412233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54237556104).

41412233200 is an abundant number, since it is smaller than the sum of its proper divisors (67062879008).

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

41412233200 is a wasteful number, since it uses less digits than its factorization.

41412233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4252 (or 4228 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 41412233200 its reverse (233221414), we get a palindrome (41645454614).

The spelling of 41412233200 in words is "forty-one billion, four hundred twelve million, two hundred thirty-three thousand, two hundred".