1004412344013 has 24 divisors (see below), whose sum is σ = 1562507478168. Its totient is φ = 618064981632.

The previous prime is 1004412343981. The next prime is 1004412344041. The reversal of 1004412344013 is 3104432144001.

It can be written as a sum of positive squares in 4 ways, for example, as 85580821764 + 918831522249 = 292542^2 + 958557^2 .

It is not a de Polignac number, because 1004412344013 - 2⁵ = 1004412343981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004412344813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1919131 + ... + 2385767.

It is an arithmetic number, because the mean of its divisors is an integer number (65104478257).

Almost surely, 2^{1004412344013} is an apocalyptic number.

1004412344013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1004412344013 is a deficient number, since it is larger than the sum of its proper divisors (558095134155).

1004412344013 is a wasteful number, since it uses less digits than its factorization.

1004412344013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485053 (or 485050 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1004412344013 its reverse (3104432144001), we get a palindrome (4108844488014).

The spelling of 1004412344013 in words is "one trillion, four billion, four hundred twelve million, three hundred forty-four thousand, thirteen".