41344042240 has 72 divisors (see below), whose sum is σ = 99908639208. Its totient is φ = 16391208960.

The previous prime is 41344042213. The next prime is 41344042291. The reversal of 41344042240 is 4224044314.

It can be written as a sum of positive squares in 4 ways, for example, as 1074790656 + 40269251584 = 32784^2 + 200672^2 .

It is a junction number, because it is equal to n+sod(n) for n = 41344042199 and 41344042208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1720 + ... + 287560.

It is an arithmetic number, because the mean of its divisors is an integer number (1387619989).

Almost surely, 2^41344042240 is an apocalyptic number.

41344042240 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 41344042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49954319604).

41344042240 is an abundant number, since it is smaller than the sum of its proper divisors (58564596968).

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

41344042240 is a wasteful number, since it uses less digits than its factorization.

41344042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285975 (or 285961 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 41344042240 its reverse (4224044314), we get a palindrome (45568086554).

The spelling of 41344042240 in words is "forty-one billion, three hundred forty-four million, forty-two thousand, two hundred forty".