414101242993 has 2 divisors, whose sum is σ = 414101242994. Its totient is φ = 414101242992.

The previous prime is 414101242969. The next prime is 414101243027. The reversal of 414101242993 is 399242101414.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 234301498209 + 179799744784 = 484047^2 + 424028^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414101242993 is a prime.

It is not a weakly prime, because it can be changed into another prime (414101242913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207050621496 + 207050621497.

It is an arithmetic number, because the mean of its divisors is an integer number (207050621497).

Almost surely, 2^414101242993 is an apocalyptic number.

It is an amenable number.

414101242993 is a deficient number, since it is larger than the sum of its proper divisors (1).

414101242993 is an equidigital number, since it uses as much as digits as its factorization.

414101242993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 414101242993 in words is "four hundred fourteen billion, one hundred one million, two hundred forty-two thousand, nine hundred ninety-three".