41224288 has 72 divisors (see below), whose sum is σ = 96181344. Its totient is φ = 17337600.

The previous prime is 41224279. The next prime is 41224297. The reversal of 41224288 is 88242214.

It is an interprime number because it is at equal distance from previous prime (41224279) and next prime (41224297).

It is a super-2 number, since 2×41224288² = 3398883842213888, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95433 + ... + 95863.

It is an arithmetic number, because the mean of its divisors is an integer number (1335852).

Almost surely, 2^41224288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41224288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48090672).

41224288 is an abundant number, since it is smaller than the sum of its proper divisors (54957056).

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

41224288 is a wasteful number, since it uses less digits than its factorization.

41224288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 501 counting only the distinct ones).

The product of its digits is 8192, while the sum is 31.

The square root of 41224288 is about 6420.6143008282. The cubic root of 41224288 is about 345.4493563562.

The spelling of 41224288 in words is "forty-one million, two hundred twenty-four thousand, two hundred eighty-eight".