4107881762688 has 256 divisors, whose sum is σ = 12509566122240. Its totient is φ = 1183000412160.

The previous prime is 4107881762669. The next prime is 4107881762693. The reversal of 4107881762688 is 8862671887014.

4107881762688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6414756 + ... + 7026012.

It is an arithmetic number, because the mean of its divisors is an integer number (48865492665).

Almost surely, 2^{4107881762688} is an apocalyptic number.

4107881762688 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 4107881762688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6254783061120).

4107881762688 is an abundant number, since it is smaller than the sum of its proper divisors (8401684359552).

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

4107881762688 is a wasteful number, since it uses less digits than its factorization.

4107881762688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611365 (or 611353 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 66.

The spelling of 4107881762688 in words is "four trillion, one hundred seven billion, eight hundred eighty-one million, seven hundred sixty-two thousand, six hundred eighty-eight".