444045540444 has 96 divisors (see below), whose sum is σ = 1143648446976. Its totient is φ = 132979226880.

The previous prime is 444045540443. The next prime is 444045540473.

444045540444 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 444045540396 and 444045540405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444045540443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3755394 + ... + 3871830.

It is an arithmetic number, because the mean of its divisors is an integer number (11913004656).

Almost surely, 2^444045540444 is an apocalyptic number.

444045540444 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 444045540444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571824223488).

444045540444 is an abundant number, since it is smaller than the sum of its proper divisors (699602906532).

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

444045540444 is a wasteful number, since it uses less digits than its factorization.

444045540444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116795 (or 116793 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 42.

It can be divided in two parts, 444045 and 540444, that added together give a palindrome (984489).

The spelling of 444045540444 in words is "four hundred forty-four billion, forty-five million, five hundred forty thousand, four hundred forty-four".