444254404452444 has 96 divisors (see below), whose sum is σ = 1183862118062400. Its totient is φ = 143965272395520.

The previous prime is 444254404452437. The next prime is 444254404452461.

444254404452444 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 544 + 0 + 4 + 4 + 52 + 4 + 44 = 666.

444254404452444 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 40318687 + ... + 50140854.

It is an arithmetic number, because the mean of its divisors is an integer number (12331897063150).

Almost surely, 2^{444254404452444} is an apocalyptic number.

It is an amenable number.

444254404452444 is an abundant number, since it is smaller than the sum of its proper divisors (739607713609956).

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

444254404452444 is a wasteful number, since it uses less digits than its factorization.

444254404452444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90460820 (or 90460812 counting only the distinct ones).

The product of its (nonzero) digits is 104857600, while the sum is 54.

It can be divided in two parts, 44425440 and 4452444, that added together give a palindrome (48877884).

The spelling of 444254404452444 in words is "four hundred forty-four trillion, two hundred fifty-four billion, four hundred four million, four hundred fifty-two thousand, four hundred forty-four".