41227824 has 80 divisors (see below), whose sum is σ = 117385344. Its totient is φ = 12364800.

The previous prime is 41227819. The next prime is 41227829. The reversal of 41227824 is 42872214.

It is an interprime number because it is at equal distance from previous prime (41227819) and next prime (41227829).

It is a junction number, because it is equal to n+sod(n) for n = 41227791 and 41227800.

It is not an unprimeable number, because it can be changed into a prime (41227829) 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 15 ways as a sum of consecutive naturals, for example, 59319 + ... + 60009.

Almost surely, 2^41227824 is an apocalyptic number.

41227824 is a gapful number since it is divisible by the number (44) 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 41227824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58692672).

41227824 is an abundant number, since it is smaller than the sum of its proper divisors (76157520).

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

41227824 is a wasteful number, since it uses less digits than its factorization.

41227824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 820 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 41227824 is about 6420.8896579835. The cubic root of 41227824 is about 345.4592330095.

The spelling of 41227824 in words is "forty-one million, two hundred twenty-seven thousand, eight hundred twenty-four".