5140671440256 has 768 divisors, whose sum is σ = 17292938342400. Its totient is φ = 1500689203200.

The previous prime is 5140671440221. The next prime is 5140671440299. The reversal of 5140671440256 is 6520441760415.

5140671440256 is a `hidden beast` number, since 5 + 140 + 67 + 1 + 440 + 2 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3331607421 + ... + 3331608963.

It is an arithmetic number, because the mean of its divisors is an integer number (22516846800).

Almost surely, 2^{5140671440256} 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 5140671440256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8646469171200).

5140671440256 is an abundant number, since it is smaller than the sum of its proper divisors (12152266902144).

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

5140671440256 is a wasteful number, since it uses less digits than its factorization.

5140671440256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 5140671440256 in words is "five trillion, one hundred forty billion, six hundred seventy-one million, four hundred forty thousand, two hundred fifty-six".