444737737444 has 144 divisors (see below), whose sum is σ = 1086272328960. Its totient is φ = 156542077440.

The previous prime is 444737737361. The next prime is 444737737447.

It is a happy number.

444737737444 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (444737737447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1148512 + ... + 1486120.

It is an arithmetic number, because the mean of its divisors is an integer number (7543557840).

Almost surely, 2^444737737444 is an apocalyptic number.

444737737444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444737737444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543136164480).

444737737444 is an abundant number, since it is smaller than the sum of its proper divisors (641534591516).

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

444737737444 is a wasteful number, since it uses less digits than its factorization.

444737737444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337698 (or 337689 counting only the distinct ones).

The product of its digits is 88510464, while the sum is 58.

The spelling of 444737737444 in words is "four hundred forty-four billion, seven hundred thirty-seven million, seven hundred thirty-seven thousand, four hundred forty-four".