444034121011012 has 96 divisors (see below), whose sum is σ = 914148582100992. Its totient is φ = 184779907416576.

The previous prime is 444034121010937. The next prime is 444034121011027. The reversal of 444034121011012 is 210110121430444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118929628 + ... + 122606380.

It is an arithmetic number, because the mean of its divisors is an integer number (9522381063552).

Almost surely, 2^{444034121011012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444034121011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457074291050496).

444034121011012 is an abundant number, since it is smaller than the sum of its proper divisors (470114461089980).

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

444034121011012 is a wasteful number, since it uses less digits than its factorization.

444034121011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3677537 (or 3677535 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 444034121011012 its reverse (210110121430444), we get a palindrome (654144242441456).

The spelling of 444034121011012 in words is "four hundred forty-four trillion, thirty-four billion, one hundred twenty-one million, eleven thousand, twelve".