41821824 has 64 divisors (see below), whose sum is σ = 121200480. Its totient is φ = 12672000.

The previous prime is 41821807. The next prime is 41821837. The reversal of 41821824 is 42812814.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a junction number, because it is equal to n+sod(n) for n = 41821791 and 41821800.

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 7 ways as a sum of consecutive naturals, for example, 727 + ... + 9174.

Almost surely, 2^41821824 is an apocalyptic number.

41821824 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 41821824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60600240).

41821824 is an abundant number, since it is smaller than the sum of its proper divisors (79378656).

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

41821824 is a wasteful number, since it uses less digits than its factorization.

41821824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9929 (or 9917 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 41821824 is about 6466.9795113329. The cubic root of 41821824 is about 347.1104244842.

It can be divided in two parts, 4182 and 1824, that added together give a palindrome (6006).

The spelling of 41821824 in words is "forty-one million, eight hundred twenty-one thousand, eight hundred twenty-four".