2400104320417 has 2 divisors, whose sum is σ = 2400104320418. Its totient is φ = 2400104320416.

The previous prime is 2400104320303. The next prime is 2400104320421. The reversal of 2400104320417 is 7140234010042.

2400104320417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2392701610896 + 7402709521 = 1546836^2 + 86039^2 .

It is a cyclic number.

It is not a de Polignac number, because 2400104320417 - 2¹⁵ = 2400104287649 is a prime.

It is not a weakly prime, because it can be changed into another prime (2400104320477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1200052160208 + 1200052160209.

It is an arithmetic number, because the mean of its divisors is an integer number (1200052160209).

Almost surely, 2^{2400104320417} is an apocalyptic number.

It is an amenable number.

2400104320417 is a deficient number, since it is larger than the sum of its proper divisors (1).

2400104320417 is an equidigital number, since it uses as much as digits as its factorization.

2400104320417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5376, while the sum is 28.

Adding to 2400104320417 its reverse (7140234010042), we get a palindrome (9540338330459).

The spelling of 2400104320417 in words is "two trillion, four hundred billion, one hundred four million, three hundred twenty thousand, four hundred seventeen".