517065142440 has 768 divisors, whose sum is σ = 1994283970560. Its totient is φ = 104954572800.

The previous prime is 517065142411. The next prime is 517065142453. The reversal of 517065142440 is 44241560715.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 988652019 + ... + 988652541.

It is an arithmetic number, because the mean of its divisors is an integer number (2596723920).

Almost surely, 2^517065142440 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 517065142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997141985280).

517065142440 is an abundant number, since it is smaller than the sum of its proper divisors (1477218828120).

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

517065142440 is a wasteful number, since it uses less digits than its factorization.

517065142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 517065142440 in words is "five hundred seventeen billion, sixty-five million, one hundred forty-two thousand, four hundred forty".