1004123362041 has 12 divisors (see below), whose sum is σ = 1450409610468. Its totient is φ = 669411329184.

The previous prime is 1004123362037. The next prime is 1004123362049. The reversal of 1004123362041 is 1402633214001.

It is a happy number.

1004123362041 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 1 + 2 + 33 + 620 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 836088955641 + 168034406400 = 914379^2 + 409920^2 .

It is not a de Polignac number, because 1004123362041 - 2² = 1004123362037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1004123361996 and 1004123362014.

It is not an unprimeable number, because it can be changed into a prime (1004123362049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1899351 + ... + 2369763.

It is an arithmetic number, because the mean of its divisors is an integer number (120867467539).

Almost surely, 2^{1004123362041} is an apocalyptic number.

It is an amenable number.

1004123362041 is a deficient number, since it is larger than the sum of its proper divisors (446286248427).

1004123362041 is a wasteful number, since it uses less digits than its factorization.

1004123362041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707592 (or 707589 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1004123362041 its reverse (1402633214001), we get a palindrome (2406756576042).

The spelling of 1004123362041 in words is "one trillion, four billion, one hundred twenty-three million, three hundred sixty-two thousand, forty-one".