41141200 has 60 divisors (see below), whose sum is σ = 99605728. Its totient is φ = 16329600.

The previous prime is 41141171. The next prime is 41141201. The reversal of 41141200 is 214114.

41141200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41141201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64885 + ... + 65515.

Almost surely, 2^41141200 is an apocalyptic number.

41141200 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 41141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49802864).

41141200 is an abundant number, since it is smaller than the sum of its proper divisors (58464528).

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

41141200 is a wasteful number, since it uses less digits than its factorization.

41141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 41141200 is about 6414.1406283305. The cubic root of 41141200 is about 345.2171146150.

Adding to 41141200 its reverse (214114), we get a palindrome (41355314).

The spelling of 41141200 in words is "forty-one million, one hundred forty-one thousand, two hundred".