4004004448 has 48 divisors (see below), whose sum is σ = 8161110720. Its totient is φ = 1932512256.

The previous prime is 4004004419. The next prime is 4004004449. The reversal of 4004004448 is 8444004004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004004449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91558 + ... + 128026.

It is an arithmetic number, because the mean of its divisors is an integer number (170023140).

Almost surely, 2^4004004448 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 4004004448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080555360).

4004004448 is an abundant number, since it is smaller than the sum of its proper divisors (4157106272).

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

4004004448 is a wasteful number, since it uses less digits than its factorization.

4004004448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36599 (or 36591 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 4004004448 is about 63277.2032251742. The cubic root of 4004004448 is about 1587.9305973767.

The spelling of 4004004448 in words is "four billion, four million, four thousand, four hundred forty-eight".