41433984 has 128 divisors (see below), whose sum is σ = 128928000. Its totient is φ = 13063680.

The previous prime is 41433961. The next prime is 41433991. The reversal of 41433984 is 48933414.

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

It is a super-2 number, since 2×41433984² = 3433550060224512, 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.

It is a congruent number.

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, 65349 + ... + 65979.

It is an arithmetic number, because the mean of its divisors is an integer number (1007250).

Almost surely, 2^41433984 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 41433984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64464000).

41433984 is an abundant number, since it is smaller than the sum of its proper divisors (87494016).

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

41433984 is a wasteful number, since it uses less digits than its factorization.

41433984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 655 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 41433984 is about 6436.9234887483. The cubic root of 41433984 is about 346.0340995717.

The spelling of 41433984 in words is "forty-one million, four hundred thirty-three thousand, nine hundred eighty-four".