4084440008832 has 192 divisors, whose sum is σ = 11829682519200. Its totient is φ = 1352657645568.

The previous prime is 4084440008821. The next prime is 4084440008867. The reversal of 4084440008832 is 2388000444804.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245997843 + ... + 246014445.

Almost surely, 2^{4084440008832} 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 4084440008832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5914841259600).

4084440008832 is an abundant number, since it is smaller than the sum of its proper divisors (7745242510368).

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

4084440008832 is a wasteful number, since it uses less digits than its factorization.

4084440008832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17995 (or 17980 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 4084440008832 in words is "four trillion, eighty-four billion, four hundred forty million, eight thousand, eight hundred thirty-two".