14100364041409 has 2 divisors, whose sum is σ = 14100364041410. Its totient is φ = 14100364041408.

The previous prime is 14100364041359. The next prime is 14100364041451. The reversal of 14100364041409 is 90414046300141.

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., 13237248719809 + 863115321600 = 3638303^2 + 929040^2 .

It is a cyclic number.

It is not a de Polignac number, because 14100364041409 - 2¹⁵ = 14100364008641 is a prime.

It is a super-2 number, since 2×14100364041409² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (14100364341409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7050182020704 + 7050182020705.

It is an arithmetic number, because the mean of its divisors is an integer number (7050182020705).

Almost surely, 2^{14100364041409} is an apocalyptic number.

It is an amenable number.

14100364041409 is a deficient number, since it is larger than the sum of its proper divisors (1).

14100364041409 is an equidigital number, since it uses as much as digits as its factorization.

14100364041409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 14100364041409 in words is "fourteen trillion, one hundred billion, three hundred sixty-four million, forty-one thousand, four hundred nine".