42104577636 has 81 divisors (see below), whose sum is σ = 117023798073. Its totient is φ = 12754859040.

The previous prime is 42104577617. The next prime is 42104577649. The reversal of 42104577636 is 63677540124.

The square root of 42104577636 is 205194.

It is a perfect power (a square), and thus also a powerful number.

42104577636 is a `hidden beast` number, since 4 + 2 + 1 + 0 + 4 + 5 + 7 + 7 + 636 = 666.

42104577636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7463923236 + 34640654400 = 86394^2 + 186120^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42104577591 and 42104577600.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13541250 + ... + 13544358.

Almost surely, 2^42104577636 is an apocalyptic number.

42104577636 is the 205194-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42104577636

42104577636 is an abundant number, since it is smaller than the sum of its proper divisors (74919220437).

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

42104577636 is a wasteful number, since it uses less digits than its factorization.

42104577636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6250 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 42104577636 in words is "forty-two billion, one hundred four million, five hundred seventy-seven thousand, six hundred thirty-six".