8440616016 has 200 divisors, whose sum is σ = 28821123584. Its totient is φ = 2333733120.

The previous prime is 8440615943. The next prime is 8440616081. The reversal of 8440616016 is 6106160448.

8440616016 is a `hidden beast` number, since 8 + 4 + 40 + 6 + 1 + 601 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 266226 + ... + 296238.

Almost surely, 2^8440616016 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 8440616016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14410561792).

8440616016 is an abundant number, since it is smaller than the sum of its proper divisors (20380507568).

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

8440616016 is a wasteful number, since it uses less digits than its factorization.

8440616016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30071 (or 30056 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8440616016 is about 91872.8252314034. The cubic root of 8440616016 is about 2036.0637940083.

The spelling of 8440616016 in words is "eight billion, four hundred forty million, six hundred sixteen thousand, sixteen".