1004402120417 has 2 divisors, whose sum is σ = 1004402120418. Its totient is φ = 1004402120416.

The previous prime is 1004402120411. The next prime is 1004402120471. The reversal of 1004402120417 is 7140212044001.

Together with next prime (1004402120471) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 748693903441 + 255708216976 = 865271^2 + 505676^2 .

It is a cyclic number.

It is not a de Polignac number, because 1004402120417 - 2⁶ = 1004402120353 is a prime.

It is not a weakly prime, because it can be changed into another prime (1004402120411) 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 as a sum of consecutive naturals, namely, 502201060208 + 502201060209.

It is an arithmetic number, because the mean of its divisors is an integer number (502201060209).

Almost surely, 2^{1004402120417} is an apocalyptic number.

It is an amenable number.

1004402120417 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004402120417 is an equidigital number, since it uses as much as digits as its factorization.

1004402120417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1792, while the sum is 26.

Adding to 1004402120417 its reverse (7140212044001), we get a palindrome (8144614164418).

The spelling of 1004402120417 in words is "one trillion, four billion, four hundred two million, one hundred twenty thousand, four hundred seventeen".