444321443404413 has 36 divisors (see below), whose sum is σ = 666459229536828. Its totient is φ = 296209439706240.

The previous prime is 444321443404381. The next prime is 444321443404493. The reversal of 444321443404413 is 314404344123444.

444321443404413 is a `hidden beast` number, since 4 + 4 + 4 + 32 + 144 + 34 + 0 + 441 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 203910774551289 + 240410668853124 = 14279733^2 + 15505182^2 .

It is not a de Polignac number, because 444321443404413 - 2⁵ = 444321443404381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444321443404493) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 424505445 + ... + 425550837.

It is an arithmetic number, because the mean of its divisors is an integer number (18512756376023).

Almost surely, 2^{444321443404413} is an apocalyptic number.

It is an amenable number.

444321443404413 is a deficient number, since it is larger than the sum of its proper divisors (222137786132415).

444321443404413 is an frugal number, since it uses more digits than its factorization.

444321443404413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110198 (or 1110177 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 45.

Adding to 444321443404413 its reverse (314404344123444), we get a palindrome (758725787527857).

The spelling of 444321443404413 in words is "four hundred forty-four trillion, three hundred twenty-one billion, four hundred forty-three million, four hundred four thousand, four hundred thirteen".