4257918812160 has 1632 divisors, whose sum is σ = 17312948190720. Its totient is φ = 958515904512.

The previous prime is 4257918812159. The next prime is 4257918812221. The reversal of 4257918812160 is 612188197524.

4257918812160 is a `hidden beast` number, since 4 + 2 + 579 + 1 + 8 + 8 + 1 + 2 + 1 + 60 = 666.

4257918812160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1632).

It is a super-2 number, since 2×4257918812160² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4257918812097 and 4257918812106.

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, 30632509371 + ... + 30632509509.

Almost surely, 2^{4257918812160} is an apocalyptic number.

4257918812160 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 4257918812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8656474095360).

4257918812160 is an abundant number, since it is smaller than the sum of its proper divisors (13055029378560).

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

4257918812160 is a wasteful number, since it uses less digits than its factorization.

4257918812160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 4257918812160 in words is "four trillion, two hundred fifty-seven billion, nine hundred eighteen million, eight hundred twelve thousand, one hundred sixty".