4114707844128 has 288 divisors, whose sum is σ = 12870133657920. Its totient is φ = 1147095613440.

The previous prime is 4114707844123. The next prime is 4114707844207. The reversal of 4114707844128 is 8214487074114.

It is not an unprimeable number, because it can be changed into a prime (4114707844123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204082368 + ... + 204102528.

It is an arithmetic number, because the mean of its divisors is an integer number (44687964090).

Almost surely, 2^{4114707844128} is an apocalyptic number.

4114707844128 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 4114707844128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6435066828960).

4114707844128 is an abundant number, since it is smaller than the sum of its proper divisors (8755425813792).

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

4114707844128 is a wasteful number, since it uses less digits than its factorization.

4114707844128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21240 (or 21225 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 51.

The spelling of 4114707844128 in words is "four trillion, one hundred fourteen billion, seven hundred seven million, eight hundred forty-four thousand, one hundred twenty-eight".