1004144403401 has 2 divisors, whose sum is σ = 1004144403402. Its totient is φ = 1004144403400.

The previous prime is 1004144403377. The next prime is 1004144403421. The reversal of 1004144403401 is 1043044414001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 759887041225 + 244257362176 = 871715^2 + 494224^2 .

It is a cyclic number.

It is not a de Polignac number, because 1004144403401 - 2¹⁸ = 1004144141257 is a prime.

It is not a weakly prime, because it can be changed into another prime (1004144403421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502072201700 + 502072201701.

It is an arithmetic number, because the mean of its divisors is an integer number (502072201701).

Almost surely, 2^{1004144403401} is an apocalyptic number.

It is an amenable number.

1004144403401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004144403401 is an equidigital number, since it uses as much as digits as its factorization.

1004144403401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 1004144403401 its reverse (1043044414001), we get a palindrome (2047188817402).

The spelling of 1004144403401 in words is "one trillion, four billion, one hundred forty-four million, four hundred three thousand, four hundred one".