41534218817664 has 128 divisors (see below), whose sum is σ = 115133652910080. Its totient is φ = 13241456194560.

The previous prime is 41534218817563. The next prime is 41534218817717. The reversal of 41534218817664 is 46671881243514.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 41534218817598 and 41534218817607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89067799 + ... + 89532905.

It is an arithmetic number, because the mean of its divisors is an integer number (899481663360).

Almost surely, 2^{41534218817664} 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 41534218817664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57566826455040).

41534218817664 is an abundant number, since it is smaller than the sum of its proper divisors (73599434092416).

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

41534218817664 is a wasteful number, since it uses less digits than its factorization.

41534218817664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475258 (or 475246 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 60.

The spelling of 41534218817664 in words is "forty-one trillion, five hundred thirty-four billion, two hundred eighteen million, eight hundred seventeen thousand, six hundred sixty-four".