4109686416 has 160 divisors (see below), whose sum is σ = 12938279040. Its totient is φ = 1238630400.

The previous prime is 4109686411. The next prime is 4109686421. The reversal of 4109686416 is 6146869014.

It is an interprime number because it is at equal distance from previous prime (4109686411) and next prime (4109686421).

It is not an unprimeable number, because it can be changed into a prime (4109686411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 914896 + ... + 919376.

It is an arithmetic number, because the mean of its divisors is an integer number (80864244).

Almost surely, 2^4109686416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4109686416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6469139520).

4109686416 is an abundant number, since it is smaller than the sum of its proper divisors (8828592624).

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

4109686416 is a wasteful number, since it uses less digits than its factorization.

4109686416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702 (or 4690 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4109686416 is about 64106.8359537421. The cubic root of 4109686416 is about 1601.7801042003.

The spelling of 4109686416 in words is "four billion, one hundred nine million, six hundred eighty-six thousand, four hundred sixteen".