41331520960416 has 384 divisors, whose sum is σ = 132595698816000. Its totient is φ = 12467208241152.

The previous prime is 41331520960409. The next prime is 41331520960427. The reversal of 41331520960416 is 61406902513314.

41331520960416 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 1 + 5 + 20 + 9 + 604 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101599530 + ... + 102005526.

It is an arithmetic number, because the mean of its divisors is an integer number (345301299000).

Almost surely, 2^{41331520960416} 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 41331520960416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66297849408000).

41331520960416 is an abundant number, since it is smaller than the sum of its proper divisors (91264177855584).

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

41331520960416 is a wasteful number, since it uses less digits than its factorization.

41331520960416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406301 (or 406287 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 41331520960416 in words is "forty-one trillion, three hundred thirty-one billion, five hundred twenty million, nine hundred sixty thousand, four hundred sixteen".