444111042340000 has 480 divisors, whose sum is σ = 1293163952572800. Its totient is φ = 149993851392000.

The previous prime is 444111042339983. The next prime is 444111042340003. The reversal of 444111042340000 is 43240111444.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (444111042340003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 459136872 + ... + 460103128.

It is an arithmetic number, because the mean of its divisors is an integer number (2694091567860).

Almost surely, 2^{444111042340000} is an apocalyptic number.

444111042340000 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 444111042340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646581976286400).

444111042340000 is an abundant number, since it is smaller than the sum of its proper divisors (849052910232800).

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

444111042340000 is an frugal number, since it uses more digits than its factorization.

444111042340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966375 (or 966338 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 444111042340000 its reverse (43240111444), we get a palindrome (444154282451444).

The spelling of 444111042340000 in words is "four hundred forty-four trillion, one hundred eleven billion, forty-two million, three hundred forty thousand".