444124121421444 has 96 divisors (see below), whose sum is σ = 1114995839118336. Its totient is φ = 137228720112000.

The previous prime is 444124121421427. The next prime is 444124121421503.

444124121421444 is nontrivially palindromic in base 10.

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 = 444124121421396 and 444124121421405.

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, 84071082 + ... + 89197505.

It is an arithmetic number, because the mean of its divisors is an integer number (11614539990816).

Almost surely, 2^{444124121421444} is an apocalyptic number.

It is an amenable number.

444124121421444 is an abundant number, since it is smaller than the sum of its proper divisors (670871717696892).

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

444124121421444 is a wasteful number, since it uses less digits than its factorization.

444124121421444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173268905 (or 173268903 counting only the distinct ones).

The product of its digits is 524288, while the sum is 42.

The spelling of 444124121421444 in words is "four hundred forty-four trillion, one hundred twenty-four billion, one hundred twenty-one million, four hundred twenty-one thousand, four hundred forty-four".