41191314956064 has 2880 divisors, whose sum is σ = 164990504448000. Its totient is φ = 10040086038528.

The previous prime is 41191314956063. The next prime is 41191314956153. The reversal of 41191314956064 is 46065941319114.

It is a happy number.

41191314956064 is a `hidden beast` number, since 4 + 1 + 1 + 9 + 1 + 3 + 14 + 9 + 560 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 41191314956064.

It is not an unprimeable number, because it can be changed into a prime (41191314956063) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 134173664199 + ... + 134173664505.

It is an arithmetic number, because the mean of its divisors is an integer number (57288369600).

Almost surely, 2^{41191314956064} 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 41191314956064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82495252224000).

41191314956064 is an abundant number, since it is smaller than the sum of its proper divisors (123799189491936).

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

41191314956064 is a wasteful number, since it uses less digits than its factorization.

41191314956064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 41191314956064 in words is "forty-one trillion, one hundred ninety-one billion, three hundred fourteen million, nine hundred fifty-six thousand, sixty-four".