444421112404311 has 48 divisors (see below), whose sum is σ = 783348648715776. Its totient is φ = 237264254111808.

The previous prime is 444421112404309. The next prime is 444421112404327. The reversal of 444421112404311 is 113404211124444.

444421112404311 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 211 + 1 + 2 + 4 + 0 + 431 + 1 = 666.

It is not a de Polignac number, because 444421112404311 - 2¹ = 444421112404309 is a prime.

It is a super-3 number, since 3×444421112404311³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444421112404331) 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 in 47 ways as a sum of consecutive naturals, for example, 3566319580 + ... + 3566444193.

It is an arithmetic number, because the mean of its divisors is an integer number (16319763514912).

Almost surely, 2^{444421112404311} is an apocalyptic number.

444421112404311 is a deficient number, since it is larger than the sum of its proper divisors (338927536311465).

444421112404311 is a wasteful number, since it uses less digits than its factorization.

444421112404311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7132763852 (or 7132763849 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 444421112404311 its reverse (113404211124444), we get a palindrome (557825323528755).

The spelling of 444421112404311 in words is "four hundred forty-four trillion, four hundred twenty-one billion, one hundred twelve million, four hundred four thousand, three hundred eleven".