4778158844160 has 864 divisors, whose sum is σ = 18893072085888. Its totient is φ = 1148767764480.

The previous prime is 4778158844159. The next prime is 4778158844167. The reversal of 4778158844160 is 614488518774.

4778158844160 is a `hidden beast` number, since 4 + 7 + 7 + 8 + 1 + 588 + 4 + 41 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×4778158844160² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4778158844167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 173857620 + ... + 173885100.

Almost surely, 2^{4778158844160} is an apocalyptic number.

4778158844160 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 4778158844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9446536042944).

4778158844160 is an abundant number, since it is smaller than the sum of its proper divisors (14114913241728).

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

4778158844160 is a wasteful number, since it uses less digits than its factorization.

4778158844160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27573 (or 27547 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 4778158844160 in words is "four trillion, seven hundred seventy-eight billion, one hundred fifty-eight million, eight hundred forty-four thousand, one hundred sixty".