41210132242240 has 224 divisors, whose sum is σ = 108272329149600. Its totient is φ = 14842930790400.

The previous prime is 41210132242219. The next prime is 41210132242271. The reversal of 41210132242240 is 4224223101214.

It can be written as a sum of positive squares in 16 ways, for example, as 10495215495424 + 30714916746816 = 3239632^2 + 5542104^2 .

It is a junction number, because it is equal to n+sod(n) for n = 41210132242199 and 41210132242208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1969786980 + ... + 1969807900.

It is an arithmetic number, because the mean of its divisors is an integer number (483358612275).

Almost surely, 2^{41210132242240} is an apocalyptic number.

41210132242240 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 41210132242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54136164574800).

41210132242240 is an abundant number, since it is smaller than the sum of its proper divisors (67062196907360).

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

41210132242240 is a wasteful number, since it uses less digits than its factorization.

41210132242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32541 (or 32531 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 41210132242240 its reverse (4224223101214), we get a palindrome (45434355343454).

The spelling of 41210132242240 in words is "forty-one trillion, two hundred ten billion, one hundred thirty-two million, two hundred forty-two thousand, two hundred forty".