4004104047324 has 96 divisors (see below), whose sum is σ = 9779151513600. Its totient is φ = 1273483706880.

The previous prime is 4004104047323. The next prime is 4004104047331. The reversal of 4004104047324 is 4237404014004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004104047323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56674429 + ... + 56745035.

It is an arithmetic number, because the mean of its divisors is an integer number (101866161600).

Almost surely, 2^{4004104047324} 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 4004104047324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4889575756800).

4004104047324 is an abundant number, since it is smaller than the sum of its proper divisors (5775047466276).

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

4004104047324 is a wasteful number, since it uses less digits than its factorization.

4004104047324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72563 (or 72561 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 33.

The spelling of 4004104047324 in words is "four trillion, four billion, one hundred four million, forty-seven thousand, three hundred twenty-four".