41707931481216 has 1536 divisors, whose sum is σ = 171004415662080. Its totient is φ = 9767034224640.

The previous prime is 41707931481193. The next prime is 41707931481263. The reversal of 41707931481216 is 61218413970714.

41707931481216 is a `hidden beast` number, since 4 + 1 + 70 + 7 + 93 + 1 + 481 + 2 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1338793896 + ... + 1338825048.

It is an arithmetic number, because the mean of its divisors is an integer number (111330999780).

Almost surely, 2^{41707931481216} 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 41707931481216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85502207831040).

41707931481216 is an abundant number, since it is smaller than the sum of its proper divisors (129296484180864).

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

41707931481216 is a wasteful number, since it uses less digits than its factorization.

41707931481216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31256 (or 31232 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 41707931481216 in words is "forty-one trillion, seven hundred seven billion, nine hundred thirty-one million, four hundred eighty-one thousand, two hundred sixteen".