41224960 has 144 divisors (see below), whose sum is σ = 116557056. Its totient is φ = 13676544.

The previous prime is 41224957. The next prime is 41224961. The reversal of 41224960 is 6942214.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (41224961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385227 + ... + 385333.

It is an arithmetic number, because the mean of its divisors is an integer number (809424).

Almost surely, 2^41224960 is an apocalyptic number.

41224960 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 41224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58278528).

41224960 is an abundant number, since it is smaller than the sum of its proper divisors (75332096).

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

41224960 is a wasteful number, since it uses less digits than its factorization.

41224960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 41224960 is about 6420.6666320562. Note that the first 4 decimals coincide. The cubic root of 41224960 is about 345.4512334107.

The spelling of 41224960 in words is "forty-one million, two hundred twenty-four thousand, nine hundred sixty".