41222400 has 216 divisors, whose sum is σ = 144469920. Its totient is φ = 10321920.

The previous prime is 41222347. The next prime is 41222429. The reversal of 41222400 is 422214.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 41222400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 364744 + ... + 364856.

Almost surely, 2^41222400 is an apocalyptic number.

41222400 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 41222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72234960).

41222400 is an abundant number, since it is smaller than the sum of its proper divisors (103247520).

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

41222400 is a wasteful number, since it uses less digits than its factorization.

41222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 41222400 is about 6420.4672727147. The cubic root of 41222400 is about 345.4440826177. Note that the first 3 decimals are identical.

Adding to 41222400 its reverse (422214), we get a palindrome (41644614).

The spelling of 41222400 in words is "forty-one million, two hundred twenty-two thousand, four hundred".