4116007689876 has 36 divisors (see below), whose sum is σ = 10429066237044. Its totient is φ = 1368743644800.

The previous prime is 4116007689847. The next prime is 4116007689917. The reversal of 4116007689876 is 6789867006114.

4116007689876 is a `hidden beast` number, since 4 + 11 + 600 + 7 + 6 + 8 + 9 + 8 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49695109776 + 4066312580100 = 222924^2 + 2016510^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 135772905 + ... + 135803216.

Almost surely, 2^{4116007689876} is an apocalyptic number.

It is an amenable number.

4116007689876 is an abundant number, since it is smaller than the sum of its proper divisors (6313058547168).

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

4116007689876 is a wasteful number, since it uses less digits than its factorization.

4116007689876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271576552 (or 271576547 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 4116007689876 in words is "four trillion, one hundred sixteen billion, seven million, six hundred eighty-nine thousand, eight hundred seventy-six".