1110004410321 has 48 divisors (see below), whose sum is σ = 1674733554000. Its totient is φ = 707576131584.

The previous prime is 1110004410313. The next prime is 1110004410349. The reversal of 1110004410321 is 1230144000111.

It can be written as a sum of positive squares in 8 ways, for example, as 3165750225 + 1106838660096 = 56265^2 + 1052064^2 .

It is not a de Polignac number, because 1110004410321 - 2³ = 1110004410313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1110004410294 and 1110004410303.

It is not an unprimeable number, because it can be changed into a prime (1110004410121) 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 47 ways as a sum of consecutive naturals, for example, 13063245 + ... + 13147941.

It is an arithmetic number, because the mean of its divisors is an integer number (34890282375).

Almost surely, 2^{1110004410321} is an apocalyptic number.

It is an amenable number.

1110004410321 is a deficient number, since it is larger than the sum of its proper divisors (564729143679).

1110004410321 is a wasteful number, since it uses less digits than its factorization.

1110004410321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85218 (or 85215 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1110004410321 its reverse (1230144000111), we get a palindrome (2340148410432).

The spelling of 1110004410321 in words is "one trillion, one hundred ten billion, four million, four hundred ten thousand, three hundred twenty-one".