41535162252224 has 56 divisors (see below), whose sum is σ = 83333809984320. Its totient is φ = 20537989595136.

The previous prime is 41535162252161. The next prime is 41535162252319. The reversal of 41535162252224 is 42225226153514.

41535162252224 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5717072 + ... + 10758960.

It is an arithmetic number, because the mean of its divisors is an integer number (1488103749720).

Almost surely, 2^{41535162252224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41535162252224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41666904992160).

41535162252224 is an abundant number, since it is smaller than the sum of its proper divisors (41798647732096).

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

41535162252224 is a wasteful number, since it uses less digits than its factorization.

41535162252224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5043325 (or 5043315 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 44.

The spelling of 41535162252224 in words is "forty-one trillion, five hundred thirty-five billion, one hundred sixty-two million, two hundred fifty-two thousand, two hundred twenty-four".