41606311012240 has 320 divisors, whose sum is σ = 106901007897600. Its totient is φ = 14964934533120.

The previous prime is 41606311012237. The next prime is 41606311012247. The reversal of 41606311012240 is 4221011360614.

It is not an unprimeable number, because it can be changed into a prime (41606311012247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5517342870 + ... + 5517350410.

It is an arithmetic number, because the mean of its divisors is an integer number (334065649680).

Almost surely, 2^{41606311012240} is an apocalyptic number.

41606311012240 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 41606311012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53450503948800).

41606311012240 is an abundant number, since it is smaller than the sum of its proper divisors (65294696885360).

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

41606311012240 is a wasteful number, since it uses less digits than its factorization.

41606311012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8322 (or 8316 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 41606311012240 its reverse (4221011360614), we get a palindrome (45827322372854).

The spelling of 41606311012240 in words is "forty-one trillion, six hundred six billion, three hundred eleven million, twelve thousand, two hundred forty".