506444005640 has 16 divisors (see below), whose sum is σ = 1139499012780. Its totient is φ = 202577602240.

The previous prime is 506444005601. The next prime is 506444005643. The reversal of 506444005640 is 46500444605.

It can be written as a sum of positive squares in 2 ways, for example, as 462680202436 + 43763803204 = 680206^2 + 209198^2 .

It is a junction number, because it is equal to n+sod(n) for n = 506444005594 and 506444005603.

It is not an unprimeable number, because it can be changed into a prime (506444005643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6330550031 + ... + 6330550110.

Almost surely, 2^506444005640 is an apocalyptic number.

It is an amenable number.

506444005640 is an abundant number, since it is smaller than the sum of its proper divisors (633055007140).

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

506444005640 is a wasteful number, since it uses less digits than its factorization.

506444005640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12661100152 (or 12661100148 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The spelling of 506444005640 in words is "five hundred six billion, four hundred forty-four million, five thousand, six hundred forty".