41838840 has 192 divisors, whose sum is σ = 147363840. Its totient is φ = 10264320.

The previous prime is 41838821. The next prime is 41838857. The reversal of 41838840 is 4883814.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 41838795 and 41838804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256599 + ... + 256761.

It is an arithmetic number, because the mean of its divisors is an integer number (767520).

Almost surely, 2^41838840 is an apocalyptic number.

41838840 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 41838840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73681920).

41838840 is an abundant number, since it is smaller than the sum of its proper divisors (105525000).

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

41838840 is a wasteful number, since it uses less digits than its factorization.

41838840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 227 counting only the distinct ones).

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

The square root of 41838840 is about 6468.2949839969. The cubic root of 41838840 is about 347.1574942479.

The spelling of 41838840 in words is "forty-one million, eight hundred thirty-eight thousand, eight hundred forty".