41271200 has 72 divisors (see below), whose sum is σ = 105180768. Its totient is φ = 15783680.

The previous prime is 41271187. The next prime is 41271203. The reversal of 41271200 is 217214.

It is not an unprimeable number, because it can be changed into a prime (41271203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17279 + ... + 19521.

It is an arithmetic number, because the mean of its divisors is an integer number (1460844).

Almost surely, 2^41271200 is an apocalyptic number.

41271200 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 41271200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52590384).

41271200 is an abundant number, since it is smaller than the sum of its proper divisors (63909568).

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

41271200 is a wasteful number, since it uses less digits than its factorization.

41271200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 41271200 is about 6424.2664950950. The cubic root of 41271200 is about 345.5803436751.

Adding to 41271200 its reverse (217214), we get a palindrome (41488414).

The spelling of 41271200 in words is "forty-one million, two hundred seventy-one thousand, two hundred".