512140104667040 has 192 divisors, whose sum is σ = 1272382234244352. Its totient is φ = 194421690777600.

The previous prime is 512140104667021. The next prime is 512140104667117. The reversal of 512140104667040 is 40766401041215.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3062570630 + ... + 3062737850.

It is an arithmetic number, because the mean of its divisors is an integer number (6626990803356).

Almost surely, 2^{512140104667040} 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 512140104667040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636191117122176).

512140104667040 is an abundant number, since it is smaller than the sum of its proper divisors (760242129577312).

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

512140104667040 is a wasteful number, since it uses less digits than its factorization.

512140104667040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173743 (or 173735 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 512140104667040 in words is "five hundred twelve trillion, one hundred forty billion, one hundred four million, six hundred sixty-seven thousand, forty".