4444311120000 has 320 divisors, whose sum is σ = 14917601714400. Its totient is φ = 1171827712000.

The previous prime is 4444311119993. The next prime is 4444311120019. The reversal of 4444311120000 is 211134444.

It is a tau number, because it is divible by the number of its divisors (320).

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

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, 21255967 + ... + 21464033.

Almost surely, 2^{4444311120000} is an apocalyptic number.

4444311120000 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 4444311120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7458800857200).

4444311120000 is an abundant number, since it is smaller than the sum of its proper divisors (10473290594400).

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

4444311120000 is an equidigital number, since it uses as much as digits as its factorization.

4444311120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208193 (or 208166 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4444311120000 its reverse (211134444), we get a palindrome (4444522254444).

The spelling of 4444311120000 in words is "four trillion, four hundred forty-four billion, three hundred eleven million, one hundred twenty thousand".