41131200 has 336 divisors, whose sum is σ = 158739840. Its totient is φ = 9216000.

The previous prime is 41131171. The next prime is 41131213. The reversal of 41131200 is 213114.

It is a happy number.

It is a super-3 number, since 3×41131200³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1003180 + ... + 1003220.

It is an arithmetic number, because the mean of its divisors is an integer number (472440).

Almost surely, 2^41131200 is an apocalyptic number.

41131200 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 41131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79369920).

41131200 is an abundant number, since it is smaller than the sum of its proper divisors (117608640).

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

41131200 is a wasteful number, since it uses less digits than its factorization.

41131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 41131200 is about 6413.3610533011. The cubic root of 41131200 is about 345.1891422427.

Adding to 41131200 its reverse (213114), we get a palindrome (41344314).

The spelling of 41131200 in words is "forty-one million, one hundred thirty-one thousand, two hundred".