4109087136 has 384 divisors, whose sum is σ = 14997104640. Its totient is φ = 951091200.

The previous prime is 4109087089. The next prime is 4109087137. The reversal of 4109087136 is 6317809014.

It is a junction number, because it is equal to n+sod(n) for n = 4109087094 and 4109087103.

It is not an unprimeable number, because it can be changed into a prime (4109087137) 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 63 ways as a sum of consecutive naturals, for example, 2386756 + ... + 2388476.

It is an arithmetic number, because the mean of its divisors is an integer number (39054960).

Almost surely, 2^4109087136 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 4109087136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7498552320).

4109087136 is an abundant number, since it is smaller than the sum of its proper divisors (10888017504).

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

4109087136 is a wasteful number, since it uses less digits than its factorization.

4109087136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 4109087136 is about 64102.1617108191. The cubic root of 4109087136 is about 1601.7022425060.

The spelling of 4109087136 in words is "four billion, one hundred nine million, eighty-seven thousand, one hundred thirty-six".