41829840 has 240 divisors, whose sum is σ = 156396240. Its totient is φ = 9953280.

The previous prime is 41829829. The next prime is 41829871. The reversal of 41829840 is 4892814.

41829840 = 990² + 991² + ... + 1030².

41829840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7817616 + 34012224 = 2796^2 + 5832^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 41829795 and 41829804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383706 + ... + 383814.

It is an arithmetic number, because the mean of its divisors is an integer number (651651).

Almost surely, 2^41829840 is an apocalyptic number.

41829840 is a gapful number since it is divisible by the number (40) 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 41829840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78198120).

41829840 is an abundant number, since it is smaller than the sum of its proper divisors (114566400).

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

41829840 is a wasteful number, since it uses less digits than its factorization.

41829840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 41829840 is about 6467.5992454697. The cubic root of 41829840 is about 347.1325999829.

The spelling of 41829840 in words is "forty-one million, eight hundred twenty-nine thousand, eight hundred forty".