384044130451441 has 2 divisors, whose sum is σ = 384044130451442. Its totient is φ = 384044130451440.

The previous prime is 384044130451403. The next prime is 384044130451447. The reversal of 384044130451441 is 144154031440483.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 367018273913841 + 17025856537600 = 19157721^2 + 4126240^2 .

It is a cyclic number.

It is not a de Polignac number, because 384044130451441 - 2¹¹ = 384044130449393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 384044130451391 and 384044130451400.

It is not a weakly prime, because it can be changed into another prime (384044130451447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192022065225720 + 192022065225721.

It is an arithmetic number, because the mean of its divisors is an integer number (192022065225721).

Almost surely, 2^{384044130451441} is an apocalyptic number.

It is an amenable number.

384044130451441 is a deficient number, since it is larger than the sum of its proper divisors (1).

384044130451441 is an equidigital number, since it uses as much as digits as its factorization.

384044130451441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1474560, while the sum is 46.

The spelling of 384044130451441 in words is "three hundred eighty-four trillion, forty-four billion, one hundred thirty million, four hundred fifty-one thousand, four hundred forty-one".