41261200 has 60 divisors (see below), whose sum is σ = 102577140. Its totient is φ = 15930880.

The previous prime is 41261183. The next prime is 41261219. The reversal of 41261200 is 216214.

It can be written as a sum of positive squares in 6 ways, for example, as 4682896 + 36578304 = 2164^2 + 6048^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9822 + ... + 13378.

It is an arithmetic number, because the mean of its divisors is an integer number (1709619).

Almost surely, 2^41261200 is an apocalyptic number.

41261200 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 41261200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51288570).

41261200 is an abundant number, since it is smaller than the sum of its proper divisors (61315940).

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

41261200 is a wasteful number, since it uses less digits than its factorization.

41261200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 41261200 is about 6423.4881489733. The cubic root of 41261200 is about 345.5524300809.

Adding to 41261200 its reverse (216214), we get a palindrome (41477414).

The spelling of 41261200 in words is "forty-one million, two hundred sixty-one thousand, two hundred".