41608223957328 has 480 divisors, whose sum is σ = 130083344133120. Its totient is φ = 11224048281600.

The previous prime is 41608223957309. The next prime is 41608223957381. The reversal of 41608223957328 is 82375932280614.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10804522603 + ... + 10804526453.

It is an arithmetic number, because the mean of its divisors is an integer number (271006966944).

It is a 1-persistent number, because it is pandigital, but 2⋅41608223957328 = 83216447914656 is not.

Almost surely, 2^{41608223957328} is an apocalyptic number.

41608223957328 is a gapful number since it is divisible by the number (48) 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 41608223957328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65041672066560).

41608223957328 is an abundant number, since it is smaller than the sum of its proper divisors (88475120175792).

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

41608223957328 is a wasteful number, since it uses less digits than its factorization.

41608223957328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4687 (or 4658 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 41608223957328 in words is "forty-one trillion, six hundred eight billion, two hundred twenty-three million, nine hundred fifty-seven thousand, three hundred twenty-eight".