4093086816 has 720 divisors, whose sum is σ = 15718869936. Its totient is φ = 1034643456.

The previous prime is 4093086757. The next prime is 4093086841. The reversal of 4093086816 is 6186803904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 61090815 + ... + 61090881.

Almost surely, 2^4093086816 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 4093086816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7859434968).

4093086816 is an abundant number, since it is smaller than the sum of its proper divisors (11625783120).

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

4093086816 is a wasteful number, since it uses less digits than its factorization.

4093086816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 129 counting only the distinct ones).

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

The square root of 4093086816 is about 63977.2367018145. The cubic root of 4093086816 is about 1599.6205892034.

The spelling of 4093086816 in words is "four billion, ninety-three million, eighty-six thousand, eight hundred sixteen".