4004141004440 has 64 divisors (see below), whose sum is σ = 9159583680000. Its totient is φ = 1575155238400.

The previous prime is 4004141004433. The next prime is 4004141004503. The reversal of 4004141004440 is 444001414004.

4004141004440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2723960 + ... + 3927879.

It is an arithmetic number, because the mean of its divisors is an integer number (143118495000).

Almost surely, 2^{4004141004440} is an apocalyptic number.

4004141004440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004141004440 is an abundant number, since it is smaller than the sum of its proper divisors (5155442675560).

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

4004141004440 is a wasteful number, since it uses less digits than its factorization.

4004141004440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6652100 (or 6652096 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 4004141004440 its reverse (444001414004), we get a palindrome (4448142418444).

The spelling of 4004141004440 in words is "four trillion, four billion, one hundred forty-one million, four thousand, four hundred forty".