41613551286561 has 64 divisors (see below), whose sum is σ = 68732058009600. Its totient is φ = 24728916384000.

The previous prime is 41613551286551. The next prime is 41613551286589. The reversal of 41613551286561 is 16568215531614.

It is a happy number.

41613551286561 is a `hidden beast` number, since 4 + 1 + 6 + 1 + 3 + 5 + 51 + 28 + 6 + 561 = 666.

It is not a de Polignac number, because 41613551286561 - 2¹⁴ = 41613551270177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41613551286498 and 41613551286507.

It is not an unprimeable number, because it can be changed into a prime (41613551286551) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28869336 + ... + 30276486.

It is an arithmetic number, because the mean of its divisors is an integer number (1073938406400).

Almost surely, 2^{41613551286561} is an apocalyptic number.

It is an amenable number.

41613551286561 is a deficient number, since it is larger than the sum of its proper divisors (27118506723039).

41613551286561 is a wasteful number, since it uses less digits than its factorization.

41613551286561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410587 (or 1410581 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 54.

The spelling of 41613551286561 in words is "forty-one trillion, six hundred thirteen billion, five hundred fifty-one million, two hundred eighty-six thousand, five hundred sixty-one".