4004004440041 has 4 divisors (see below), whose sum is σ = 4178091589632. Its totient is φ = 3829917290452.

The previous prime is 4004004440021. The next prime is 4004004440069. The reversal of 4004004440041 is 1400444004004.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4004004440041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4004004439988 and 4004004440015.

It is not an unprimeable number, because it can be changed into a prime (4004004440011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87043574761 + ... + 87043574806.

It is an arithmetic number, because the mean of its divisors is an integer number (1044522897408).

Almost surely, 2^{4004004440041} is an apocalyptic number.

It is an amenable number.

4004004440041 is a deficient number, since it is larger than the sum of its proper divisors (174087149591).

4004004440041 is a wasteful number, since it uses less digits than its factorization.

4004004440041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174087149590.

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 4004004440041 its reverse (1400444004004), we get a palindrome (5404448444045).

The spelling of 4004004440041 in words is "four trillion, four billion, four million, four hundred forty thousand, forty-one".