8004440433114 has 128 divisors (see below), whose sum is σ = 19429762222080. Its totient is φ = 2432367885312.

The previous prime is 8004440433107. The next prime is 8004440433133. The reversal of 8004440433114 is 4113340444008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7046032 + ... + 8102804.

It is an arithmetic number, because the mean of its divisors is an integer number (151795017360).

Almost surely, 2^{8004440433114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8004440433114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9714881111040).

8004440433114 is an abundant number, since it is smaller than the sum of its proper divisors (11425321788966).

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

8004440433114 is a wasteful number, since it uses less digits than its factorization.

8004440433114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057061 (or 1057055 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 8004440433114 in words is "eight trillion, four billion, four hundred forty million, four hundred thirty-three thousand, one hundred fourteen".