4004584089696 has 96 divisors (see below), whose sum is σ = 11683975766400. Its totient is φ = 1334411210880.

The previous prime is 4004584089691. The next prime is 4004584089719. The reversal of 4004584089696 is 6969804854004.

4004584089696 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 58 + 408 + 96 + 96 = 666.

4004584089696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004584089691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1786915 + ... + 3346973.

It is an arithmetic number, because the mean of its divisors is an integer number (121708080900).

Almost surely, 2^{4004584089696} is an apocalyptic number.

It is an amenable number.

4004584089696 is an abundant number, since it is smaller than the sum of its proper divisors (7679391676704).

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

4004584089696 is a wasteful number, since it uses less digits than its factorization.

4004584089696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563049 (or 1563035 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 4004584089696 in words is "four trillion, four billion, five hundred eighty-four million, eighty-nine thousand, six hundred ninety-six".