41216688 has 60 divisors (see below), whose sum is σ = 119632968. Its totient is φ = 13737600.

The previous prime is 41216671. The next prime is 41216689. The reversal of 41216688 is 88661214.

41216688 is a `hidden beast` number, since 412 + 166 + 88 = 666.

41216688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (41216689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1413 + ... + 9188.

Almost surely, 2^41216688 is an apocalyptic number.

41216688 is a gapful number since it is divisible by the number (48) 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 41216688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59816484).

41216688 is an abundant number, since it is smaller than the sum of its proper divisors (78416280).

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

41216688 is a wasteful number, since it uses less digits than its factorization.

41216688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10624 (or 10606 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 41216688 is about 6420.0224298674. The cubic root of 41216688 is about 345.4281263436.

The spelling of 41216688 in words is "forty-one million, two hundred sixteen thousand, six hundred eighty-eight".