41817216 has 128 divisors (see below), whose sum is σ = 130037760. Its totient is φ = 11658240.

The previous prime is 41817211. The next prime is 41817221. The reversal of 41817216 is 61271814.

41817216 = T₃₂₈ + T₃₂₉ + ... + T₆₅₈.

It is an interprime number because it is at equal distance from previous prime (41817211) and next prime (41817221).

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (41817211) 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, 126171 + ... + 126501.

It is an arithmetic number, because the mean of its divisors is an integer number (1015920).

Almost surely, 2^41817216 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 41817216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65018880).

41817216 is an abundant number, since it is smaller than the sum of its proper divisors (88220544).

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

41817216 is a wasteful number, since it uses less digits than its factorization.

41817216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 390 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 41817216 is about 6466.6232300947. The cubic root of 41817216 is about 347.0976756095.

The spelling of 41817216 in words is "forty-one million, eight hundred seventeen thousand, two hundred sixteen".