41223600 has 240 divisors, whose sum is σ = 160525440. Its totient is φ = 9964800.

The previous prime is 41223599. The next prime is 41223607. The reversal of 41223600 is 632214.

It is a happy number.

41223600 is a `hidden beast` number, since 41 + 2 + 23 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (41223607) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 118627 + ... + 118973.

It is an arithmetic number, because the mean of its divisors is an integer number (668856).

Almost surely, 2^41223600 is an apocalyptic number.

41223600 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 41223600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80262720).

41223600 is an abundant number, since it is smaller than the sum of its proper divisors (119301840).

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

41223600 is a wasteful number, since it uses less digits than its factorization.

41223600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 41223600 is about 6420.5607231768. The cubic root of 41223600 is about 345.4474345888.

Adding to 41223600 its reverse (632214), we get a palindrome (41855814).

The spelling of 41223600 in words is "forty-one million, two hundred twenty-three thousand, six hundred".