444013430004 has 120 divisors (see below), whose sum is σ = 1186602278400. Its totient is φ = 144732977280.

The previous prime is 444013429933. The next prime is 444013430017. The reversal of 444013430004 is 400034310444.

It is a super-3 number, since 3×444013430004³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 444013430004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3590352 + ... + 3711960.

It is an arithmetic number, because the mean of its divisors is an integer number (9888352320).

Almost surely, 2^444013430004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444013430004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593301139200).

444013430004 is an abundant number, since it is smaller than the sum of its proper divisors (742588848396).

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

444013430004 is a wasteful number, since it uses less digits than its factorization.

444013430004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121875 (or 121864 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 444013430004 its reverse (400034310444), we get a palindrome (844047740448).

The spelling of 444013430004 in words is "four hundred forty-four billion, thirteen million, four hundred thirty thousand, four".