1004044410401 has 2 divisors, whose sum is σ = 1004044410402. Its totient is φ = 1004044410400.

The previous prime is 1004044410371. The next prime is 1004044410431. The reversal of 1004044410401 is 1040144404001.

It is a balanced prime because it is at equal distance from previous prime (1004044410371) and next prime (1004044410431).

It can be written as a sum of positive squares in only one way, i.e., 1003633294225 + 411116176 = 1001815^2 + 20276^2 .

It is an emirp because it is prime and its reverse (1040144404001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1004044410401 is a prime.

It is not a weakly prime, because it can be changed into another prime (1004044410431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502022205200 + 502022205201.

It is an arithmetic number, because the mean of its divisors is an integer number (502022205201).

Almost surely, 2^{1004044410401} is an apocalyptic number.

It is an amenable number.

1004044410401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004044410401 is an equidigital number, since it uses as much as digits as its factorization.

1004044410401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 1004044410401 its reverse (1040144404001), we get a palindrome (2044188814402).

The spelling of 1004044410401 in words is "one trillion, four billion, forty-four million, four hundred ten thousand, four hundred one".