561664002332440 has 256 divisors, whose sum is σ = 1512221158425600. Its totient is φ = 183673194141696.

The previous prime is 561664002332431. The next prime is 561664002332453. The reversal of 561664002332440 is 44233200466165.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8887478922 + ... + 8887542118.

It is an arithmetic number, because the mean of its divisors is an integer number (5907113900100).

Almost surely, 2^{561664002332440} 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 561664002332440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756110579212800).

561664002332440 is an abundant number, since it is smaller than the sum of its proper divisors (950557156093160).

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

561664002332440 is a wasteful number, since it uses less digits than its factorization.

561664002332440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76514 (or 76510 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 46.

The spelling of 561664002332440 in words is "five hundred sixty-one trillion, six hundred sixty-four billion, two million, three hundred thirty-two thousand, four hundred forty".