8404488800801 has 2 divisors, whose sum is σ = 8404488800802. Its totient is φ = 8404488800800.

The previous prime is 8404488800797. The next prime is 8404488800803. The reversal of 8404488800801 is 1080088844048.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6447287800801 + 1957201000000 = 2539151^2 + 1399000^2 .

It is a cyclic number.

It is not a de Polignac number, because 8404488800801 - 2² = 8404488800797 is a prime.

Together with 8404488800803, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (8404488800803) 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 as a sum of consecutive naturals, namely, 4202244400400 + 4202244400401.

It is an arithmetic number, because the mean of its divisors is an integer number (4202244400401).

Almost surely, 2^{8404488800801} is an apocalyptic number.

It is an amenable number.

8404488800801 is a deficient number, since it is larger than the sum of its proper divisors (1).

8404488800801 is an equidigital number, since it uses as much as digits as its factorization.

8404488800801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2097152, while the sum is 53.

The spelling of 8404488800801 in words is "eight trillion, four hundred four billion, four hundred eighty-eight million, eight hundred thousand, eight hundred one".