3402304440401 has 2 divisors, whose sum is σ = 3402304440402. Its totient is φ = 3402304440400.

The previous prime is 3402304440343. The next prime is 3402304440419. The reversal of 3402304440401 is 1040444032043.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2756131225600 + 646173214801 = 1660160^2 + 803849^2 .

It is a cyclic number.

It is not a de Polignac number, because 3402304440401 - 2¹⁴ = 3402304424017 is a prime.

It is a super-2 number, since 2×3402304440401² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3402304443401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1701152220200 + 1701152220201.

It is an arithmetic number, because the mean of its divisors is an integer number (1701152220201).

Almost surely, 2^{3402304440401} is an apocalyptic number.

It is an amenable number.

3402304440401 is a deficient number, since it is larger than the sum of its proper divisors (1).

3402304440401 is an equidigital number, since it uses as much as digits as its factorization.

3402304440401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 3402304440401 its reverse (1040444032043), we get a palindrome (4442748472444).

The spelling of 3402304440401 in words is "three trillion, four hundred two billion, three hundred four million, four hundred forty thousand, four hundred one".