4086569916 has 288 divisors, whose sum is σ = 12974008320. Its totient is φ = 1066867200.

The previous prime is 4086569911. The next prime is 4086569953. The reversal of 4086569916 is 6199656804.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4086569911) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4627611 + ... + 4628493.

It is an arithmetic number, because the mean of its divisors is an integer number (45048640).

Almost surely, 2^4086569916 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 4086569916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6487004160).

4086569916 is an abundant number, since it is smaller than the sum of its proper divisors (8887438404).

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

4086569916 is a wasteful number, since it uses less digits than its factorization.

4086569916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 4086569916 is about 63926.2850164156. The cubic root of 4086569916 is about 1598.7711809731.

The spelling of 4086569916 in words is "four billion, eighty-six million, five hundred sixty-nine thousand, nine hundred sixteen".