41168288 has 96 divisors (see below), whose sum is σ = 103420800. Its totient is φ = 15704064.

The previous prime is 41168263. The next prime is 41168299. The reversal of 41168288 is 88286114.

It is a Harshad number since it is a multiple of its sum of digits (38).

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 15 ways as a sum of consecutive naturals, for example, 72068 + ... + 72636.

It is an arithmetic number, because the mean of its divisors is an integer number (1077300).

Almost surely, 2^41168288 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 41168288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51710400).

41168288 is an abundant number, since it is smaller than the sum of its proper divisors (62252512).

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

41168288 is a wasteful number, since it uses less digits than its factorization.

41168288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 614 counting only the distinct ones).

The product of its digits is 24576, while the sum is 38.

The square root of 41168288 is about 6416.2518653806. The cubic root of 41168288 is about 345.2928634152.

The spelling of 41168288 in words is "forty-one million, one hundred sixty-eight thousand, two hundred eighty-eight".