4857760004160 has 448 divisors, whose sum is σ = 18681815255040. Its totient is φ = 1044010598400.

The previous prime is 4857760004101. The next prime is 4857760004213. The reversal of 4857760004160 is 614000677584.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120046011 + ... + 120086469.

It is an arithmetic number, because the mean of its divisors is an integer number (41700480480).

Almost surely, 2^{4857760004160} is an apocalyptic number.

4857760004160 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 4857760004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9340907627520).

4857760004160 is an abundant number, since it is smaller than the sum of its proper divisors (13824055250880).

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

4857760004160 is a wasteful number, since it uses less digits than its factorization.

4857760004160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41554 (or 41544 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 4857760004160 in words is "four trillion, eight hundred fifty-seven billion, seven hundred sixty million, four thousand, one hundred sixty".