444321141123444 has 96 divisors (see below), whose sum is σ = 1176577801991424. Its totient is φ = 129475348147200.

The previous prime is 444321141123443. The next prime is 444321141123479.

444321141123444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444321141123444² (a number of 30 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 444321141123396 and 444321141123405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444321141123443) 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 31 ways as a sum of consecutive naturals, for example, 612683769 + ... + 613408544.

It is an arithmetic number, because the mean of its divisors is an integer number (12256018770744).

Almost surely, 2^{444321141123444} is an apocalyptic number.

It is an amenable number.

444321141123444 is an abundant number, since it is smaller than the sum of its proper divisors (732256660867980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444321141123444 is a wasteful number, since it uses less digits than its factorization.

444321141123444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226092457 (or 1226092455 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

The spelling of 444321141123444 in words is "four hundred forty-four trillion, three hundred twenty-one billion, one hundred forty-one million, one hundred twenty-three thousand, four hundred forty-four".