444130401344031 has 8 divisors (see below), whose sum is σ = 657970964954160. Its totient is φ = 296086934229336.

The previous prime is 444130401343931. The next prime is 444130401344129. The reversal of 444130401344031 is 130443104031444.

444130401344031 is a `hidden beast` number, since 4 + 4 + 4 + 1 + 304 + 0 + 1 + 344 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 444130401344031 - 2¹³ = 444130401335839 is a prime.

It is a super-2 number, since 2×444130401344031² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444130401334031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8224637061900 + ... + 8224637061953.

It is an arithmetic number, because the mean of its divisors is an integer number (82246370619270).

Almost surely, 2^{444130401344031} is an apocalyptic number.

444130401344031 is a deficient number, since it is larger than the sum of its proper divisors (213840563610129).

444130401344031 is a wasteful number, since it uses less digits than its factorization.

444130401344031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16449274123862 (or 16449274123856 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 444130401344031 its reverse (130443104031444), we get a palindrome (574573505375475).

The spelling of 444130401344031 in words is "four hundred forty-four trillion, one hundred thirty billion, four hundred one million, three hundred forty-four thousand, thirty-one".