42628202556561 has 24 divisors (see below), whose sum is σ = 63030842228640. Its totient is φ = 27746966088576.

The previous prime is 42628202556529. The next prime is 42628202556581. The reversal of 42628202556561 is 16565520282624.

It is a happy number.

42628202556561 is a `hidden beast` number, since 4 + 2 + 6 + 2 + 8 + 2 + 0 + 25 + 56 + 561 = 666.

It is not a de Polignac number, because 42628202556561 - 2⁵ = 42628202556529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42628202556498 and 42628202556507.

It is not an unprimeable number, because it can be changed into a prime (42628202556581) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20709096 + ... + 22674281.

It is an arithmetic number, because the mean of its divisors is an integer number (2626285092860).

Almost surely, 2^{42628202556561} is an apocalyptic number.

It is an amenable number.

42628202556561 is a deficient number, since it is larger than the sum of its proper divisors (20402639672079).

42628202556561 is a wasteful number, since it uses less digits than its factorization.

42628202556561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43385965 (or 43385962 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 42628202556561 in words is "forty-two trillion, six hundred twenty-eight billion, two hundred two million, five hundred fifty-six thousand, five hundred sixty-one".