392032040440401 has 27 divisors (see below), whose sum is σ = 566839900134417. Its totient is φ = 261091237501440.

The previous prime is 392032040440387. The next prime is 392032040440487. The reversal of 392032040440401 is 104044040230293.

The square root of 392032040440401 is 19799799.

It is a perfect power (a square), and thus also a powerful number.

392032040440401 is a `hidden beast` number, since 3 + 9 + 2 + 0 + 3 + 204 + 0 + 4 + 40 + 401 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45032487890625 + 346999552549776 = 6710625^2 + 18627924^2 .

It is not a de Polignac number, because 392032040440401 - 2⁹ = 392032040439889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (392032040440501) 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 in 26 ways as a sum of consecutive naturals, for example, 72051465841 + ... + 72051471281.

Almost surely, 2^{392032040440401} is an apocalyptic number.

392032040440401 is the 19799799-th square number.

392032040440401 is the 9899900-th centered octagonal number.

It is an amenable number.

392032040440401 is a deficient number, since it is larger than the sum of its proper divisors (174807859694016).

392032040440401 is an frugal number, since it uses more digits than its factorization.

392032040440401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13314 (or 6657 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 392032040440401 its reverse (104044040230293), we get a palindrome (496076080670694).

The spelling of 392032040440401 in words is "three hundred ninety-two trillion, thirty-two billion, forty million, four hundred forty thousand, four hundred one".