330400410401 has 2 divisors, whose sum is σ = 330400410402. Its totient is φ = 330400410400.

The previous prime is 330400410391. The next prime is 330400410409. The reversal of 330400410401 is 104014004033.

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., 297980607376 + 32419803025 = 545876^2 + 180055^2 .

It is a cyclic number.

It is not a de Polignac number, because 330400410401 - 2⁶ = 330400410337 is a prime.

It is not a weakly prime, because it can be changed into another prime (330400410409) 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, 165200205200 + 165200205201.

It is an arithmetic number, because the mean of its divisors is an integer number (165200205201).

Almost surely, 2^330400410401 is an apocalyptic number.

It is an amenable number.

330400410401 is a deficient number, since it is larger than the sum of its proper divisors (1).

330400410401 is an equidigital number, since it uses as much as digits as its factorization.

330400410401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 330400410401 its reverse (104014004033), we get a palindrome (434414414434).

The spelling of 330400410401 in words is "three hundred thirty billion, four hundred million, four hundred ten thousand, four hundred one".