41353668864 has 108 divisors (see below), whose sum is σ = 119423097612. Its totient is φ = 13762560000.

The previous prime is 41353668799. The next prime is 41353668887. The reversal of 41353668864 is 46886635314.

41353668864 is a `hidden beast` number, since 41 + 3 + 536 + 6 + 8 + 8 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33339838464 + 8013830400 = 182592^2 + 89520^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 41353668864.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1462864 + ... + 1490864.

Almost surely, 2^41353668864 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 41353668864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59711548806).

41353668864 is an abundant number, since it is smaller than the sum of its proper divisors (78069428748).

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

41353668864 is a wasteful number, since it uses less digits than its factorization.

41353668864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28664 (or 28647 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 41353668864 in words is "forty-one billion, three hundred fifty-three million, six hundred sixty-eight thousand, eight hundred sixty-four".