3401111431441 has 2 divisors, whose sum is σ = 3401111431442. Its totient is φ = 3401111431440.

The previous prime is 3401111431429. The next prime is 3401111431477. The reversal of 3401111431441 is 1441341111043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3325805095041 + 75306336400 = 1823679^2 + 274420^2 .

It is a cyclic number.

It is not a de Polignac number, because 3401111431441 - 2²⁷ = 3400977213713 is a prime.

It is not a weakly prime, because it can be changed into another prime (3401111431481) 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, 1700555715720 + 1700555715721.

It is an arithmetic number, because the mean of its divisors is an integer number (1700555715721).

Almost surely, 2^{3401111431441} is an apocalyptic number.

It is an amenable number.

3401111431441 is a deficient number, since it is larger than the sum of its proper divisors (1).

3401111431441 is an equidigital number, since it uses as much as digits as its factorization.

3401111431441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 3401111431441 its reverse (1441341111043), we get a palindrome (4842452542484).

The spelling of 3401111431441 in words is "three trillion, four hundred one billion, one hundred eleven million, four hundred thirty-one thousand, four hundred forty-one".