414101424349 has 2 divisors, whose sum is σ = 414101424350. Its totient is φ = 414101424348.

The previous prime is 414101424337. The next prime is 414101424361. The reversal of 414101424349 is 943424101414.

It is a balanced prime because it is at equal distance from previous prime (414101424337) and next prime (414101424361).

It can be written as a sum of positive squares in only one way, i.e., 273510172324 + 140591252025 = 522982^2 + 374955^2 .

It is a cyclic number.

It is not a de Polignac number, because 414101424349 - 2³¹ = 411953940701 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414101424379) 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, 207050712174 + 207050712175.

It is an arithmetic number, because the mean of its divisors is an integer number (207050712175).

Almost surely, 2^414101424349 is an apocalyptic number.

It is an amenable number.

414101424349 is a deficient number, since it is larger than the sum of its proper divisors (1).

414101424349 is an equidigital number, since it uses as much as digits as its factorization.

414101424349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 414101424349 in words is "four hundred fourteen billion, one hundred one million, four hundred twenty-four thousand, three hundred forty-nine".