4004840400001 has 8 divisors (see below), whose sum is σ = 4624145617280. Its totient is φ = 3397331472768.

The previous prime is 4004840399951. The next prime is 4004840400013. The reversal of 4004840400001 is 1000040484004.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4004840400001 - 2⁷ = 4004840399873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4004840400901) 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 7 ways as a sum of consecutive naturals, for example, 2949071781 + ... + 2949073138.

It is an arithmetic number, because the mean of its divisors is an integer number (578018202160).

Almost surely, 2^{4004840400001} is an apocalyptic number.

It is an amenable number.

4004840400001 is a deficient number, since it is larger than the sum of its proper divisors (619305217279).

4004840400001 is an equidigital number, since it uses as much as digits as its factorization.

4004840400001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5898145023.

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 4004840400001 its reverse (1000040484004), we get a palindrome (5004880884005).

The spelling of 4004840400001 in words is "four trillion, four billion, eight hundred forty million, four hundred thousand, one".