4957871143680 has 3456 divisors, whose sum is σ = 23691493163520. Its totient is φ = 927486443520.

The previous prime is 4957871143679. The next prime is 4957871143681. The reversal of 4957871143680 is 863411787594.

4957871143680 is a `hidden beast` number, since 4 + 9 + 57 + 8 + 71 + 1 + 436 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (4957871143679) and next prime (4957871143681).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4957871143681) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 27391553190 + ... + 27391553370.

It is an arithmetic number, because the mean of its divisors is an integer number (6855177420).

Almost surely, 2^{4957871143680} is an apocalyptic number.

4957871143680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4957871143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11845746581760).

4957871143680 is an abundant number, since it is smaller than the sum of its proper divisors (18733622019840).

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

4957871143680 is a wasteful number, since it uses less digits than its factorization.

4957871143680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 4957871143680 in words is "four trillion, nine hundred fifty-seven billion, eight hundred seventy-one million, one hundred forty-three thousand, six hundred eighty".