41409984 has 112 divisors (see below), whose sum is σ = 136647936. Its totient is φ = 10752000.

The previous prime is 41409971. The next prime is 41409997. The reversal of 41409984 is 48990414.

It is an interprime number because it is at equal distance from previous prime (41409971) and next prime (41409997).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13384 + ... + 16184.

Almost surely, 2^41409984 is an apocalyptic number.

41409984 is a gapful number since it is divisible by the number (44) 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 41409984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68323968).

41409984 is an abundant number, since it is smaller than the sum of its proper divisors (95237952).

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

41409984 is a wasteful number, since it uses less digits than its factorization.

41409984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 41409984 is about 6435.0589740887. The cubic root of 41409984 is about 345.9672750187.

The spelling of 41409984 in words is "forty-one million, four hundred nine thousand, nine hundred eighty-four".