4116127876848 has 480 divisors, whose sum is σ = 13269837134400. Its totient is φ = 1214227998720.

The previous prime is 4116127876829. The next prime is 4116127876849. The reversal of 4116127876848 is 8486787216114.

4116127876848 is a `hidden beast` number, since 4 + 1 + 1 + 612 + 7 + 8 + 7 + 6 + 8 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4116127876849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 588266886 + ... + 588273882.

It is an arithmetic number, because the mean of its divisors is an integer number (27645494030).

Almost surely, 2^{4116127876848} is an apocalyptic number.

4116127876848 is a gapful number since it is divisible by the number (48) 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 4116127876848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6634918567200).

4116127876848 is an abundant number, since it is smaller than the sum of its proper divisors (9153709257552).

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

4116127876848 is a wasteful number, since it uses less digits than its factorization.

4116127876848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7198 (or 7155 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 63.

The spelling of 4116127876848 in words is "four trillion, one hundred sixteen billion, one hundred twenty-seven million, eight hundred seventy-six thousand, eight hundred forty-eight".