559157368440 has 128 divisors (see below), whose sum is σ = 1835244760320. Its totient is φ = 135162547200.

The previous prime is 559157368411. The next prime is 559157368463. The reversal of 559157368440 is 44863751955.

It is a super-3 number, since 3×559157368440³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152341 + ... + 1068420.

It is an arithmetic number, because the mean of its divisors is an integer number (14337849690).

Almost surely, 2^559157368440 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 559157368440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917622380160).

559157368440 is an abundant number, since it is smaller than the sum of its proper divisors (1276087391880).

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

559157368440 is a wasteful number, since it uses less digits than its factorization.

559157368440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221133 (or 1221129 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 57.

The spelling of 559157368440 in words is "five hundred fifty-nine billion, one hundred fifty-seven million, three hundred sixty-eight thousand, four hundred forty".