41884416 has 216 divisors, whose sum is σ = 143488800. Its totient is φ = 11741184.

The previous prime is 41884399. The next prime is 41884421. The reversal of 41884416 is 61448814.

It is a super-2 number, since 2×41884416² = 3508608607322112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (24576) is a multiple of the sum of its prime factors (96).

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, 790246 + ... + 790298.

It is an arithmetic number, because the mean of its divisors is an integer number (664300).

Almost surely, 2^41884416 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 41884416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71744400).

41884416 is an abundant number, since it is smaller than the sum of its proper divisors (101604384).

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

41884416 is an equidigital number, since it uses as much as digits as its factorization.

41884416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 65 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 41884416 is about 6471.8170555108. The cubic root of 41884416 is about 347.2835040219.

The spelling of 41884416 in words is "forty-one million, eight hundred eighty-four thousand, four hundred sixteen".