41882688 has 168 divisors, whose sum is σ = 130759200. Its totient is φ = 12773376.

The previous prime is 41882639. The next prime is 41882693. The reversal of 41882688 is 88628814.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 470548 + ... + 470636.

Almost surely, 2^41882688 is an apocalyptic number.

41882688 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 41882688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65379600).

41882688 is an abundant number, since it is smaller than the sum of its proper divisors (88876512).

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

41882688 is a wasteful number, since it uses less digits than its factorization.

41882688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 156 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 41882688 is about 6471.6835522142. The cubic root of 41882688 is about 347.2787280678.

The spelling of 41882688 in words is "forty-one million, eight hundred eighty-two thousand, six hundred eighty-eight".