41868288 has 264 divisors, whose sum is σ = 153279360. Its totient is φ = 10690560.

The previous prime is 41868269. The next prime is 41868311. The reversal of 41868288 is 88286814.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

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 23 ways as a sum of consecutive naturals, for example, 709603 + ... + 709661.

Almost surely, 2^41868288 is an apocalyptic number.

41868288 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 41868288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76639680).

41868288 is an abundant number, since it is smaller than the sum of its proper divisors (111411072).

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

41868288 is a wasteful number, since it uses less digits than its factorization.

41868288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

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

The square root of 41868288 is about 6470.5709176239. The cubic root of 41868288 is about 347.2389233406.

The spelling of 41868288 in words is "forty-one million, eight hundred sixty-eight thousand, two hundred eighty-eight".