444105501444 has 72 divisors (see below), whose sum is σ = 1225502486208. Its totient is φ = 134484246720.

The previous prime is 444105501409. The next prime is 444105501457.

444105501444 is a `hidden beast` number, since 4 + 4 + 4 + 105 + 501 + 4 + 44 = 666.

444105501444 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 444105501399 and 444105501408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185494 + ... + 960530.

It is an arithmetic number, because the mean of its divisors is an integer number (17020867864).

Almost surely, 2^444105501444 is an apocalyptic number.

444105501444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444105501444 is an abundant number, since it is smaller than the sum of its proper divisors (781396984764).

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

444105501444 is a wasteful number, since it uses less digits than its factorization.

444105501444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776505 (or 776500 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

It can be divided in two parts, 444105 and 501444, that added together give a palindrome (945549).

The spelling of 444105501444 in words is "four hundred forty-four billion, one hundred five million, five hundred one thousand, four hundred forty-four".