4004004440448 has 192 divisors, whose sum is σ = 11939142758400. Its totient is φ = 1287126457344.

The previous prime is 4004004440411. The next prime is 4004004440459. The reversal of 4004004440448 is 8440444004004.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 3401761 + ... + 4424927.

It is an arithmetic number, because the mean of its divisors is an integer number (62183035200).

Almost surely, 2^{4004004440448} is an apocalyptic number.

4004004440448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004004440448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5969571379200).

4004004440448 is an abundant number, since it is smaller than the sum of its proper divisors (7935138317952).

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

4004004440448 is a wasteful number, since it uses less digits than its factorization.

4004004440448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023309 (or 1023294 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

The spelling of 4004004440448 in words is "four trillion, four billion, four million, four hundred forty thousand, four hundred forty-eight".