41834144 has 48 divisors (see below), whose sum is σ = 95147136. Its totient is φ = 17894400.

The previous prime is 41834129. The next prime is 41834147. The reversal of 41834144 is 44143814.

It is a happy number.

41834144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41834147) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2489 + ... + 9479.

It is an arithmetic number, because the mean of its divisors is an integer number (1982232).

Almost surely, 2^41834144 is an apocalyptic number.

41834144 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 41834144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47573568).

41834144 is an abundant number, since it is smaller than the sum of its proper divisors (53312992).

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

41834144 is a wasteful number, since it uses less digits than its factorization.

41834144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7029 (or 7021 counting only the distinct ones).

The product of its digits is 6144, while the sum is 29.

The square root of 41834144 is about 6467.9319724314. The cubic root of 41834144 is about 347.1445054191.

Adding to 41834144 its reverse (44143814), we get a palindrome (85977958).

The spelling of 41834144 in words is "forty-one million, eight hundred thirty-four thousand, one hundred forty-four".