41589888 has 128 divisors (see below), whose sum is σ = 122497920. Its totient is φ = 12435456.

The previous prime is 41589859. The next prime is 41589893. The reversal of 41589888 is 88898514.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 41589888.

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, 150006 + ... + 150282.

It is an arithmetic number, because the mean of its divisors is an integer number (957015).

Almost surely, 2^41589888 is an apocalyptic number.

41589888 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 41589888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61248960).

41589888 is an abundant number, since it is smaller than the sum of its proper divisors (80908032).

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

41589888 is a wasteful number, since it uses less digits than its factorization.

41589888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 322 counting only the distinct ones).

The product of its digits is 737280, while the sum is 51.

The square root of 41589888 is about 6449.0222514735. The cubic root of 41589888 is about 346.4675648297.

The spelling of 41589888 in words is "forty-one million, five hundred eighty-nine thousand, eight hundred eighty-eight".