41224320 has 192 divisors, whose sum is σ = 151084440. Its totient is φ = 10321920.

The previous prime is 41224297. The next prime is 41224367. The reversal of 41224320 is 2342214.

It can be written as a sum of positive squares in 4 ways, for example, as 25160256 + 16064064 = 5016^2 + 4008^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 41224293 and 41224302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97710 + ... + 98130.

Almost surely, 2^41224320 is an apocalyptic number.

41224320 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 41224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75542220).

41224320 is an abundant number, since it is smaller than the sum of its proper divisors (109860120).

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

41224320 is a wasteful number, since it uses less digits than its factorization.

41224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 41224320 is about 6420.6167928011. The cubic root of 41224320 is about 345.4494457402.

Adding to 41224320 its reverse (2342214), we get a palindrome (43566534).

The spelling of 41224320 in words is "forty-one million, two hundred twenty-four thousand, three hundred twenty".