444004440000 has 560 divisors, whose sum is σ = 1644898164096. Its totient is φ = 104716800000.

The previous prime is 444004439953. The next prime is 444004440023. The reversal of 444004440000 is 44400444.

It is a super-3 number, since 3×444004440000³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48835455 + ... + 48844545.

Almost surely, 2^444004440000 is an apocalyptic number.

444004440000 is a gapful number since it is divisible by the number (40) 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 444004440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822449082048).

444004440000 is an abundant number, since it is smaller than the sum of its proper divisors (1200893724096).

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

444004440000 is a wasteful number, since it uses less digits than its factorization.

444004440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9174 (or 9149 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 444004440000 its reverse (44400444), we get a palindrome (444048840444).

444004440000 divided by its reverse (44400444) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 44400 and 4440000, that multiplied together give a square (197136000000 = 444000²).

The spelling of 444004440000 in words is "four hundred forty-four billion, four million, four hundred forty thousand".