4444425054000 has 240 divisors, whose sum is σ = 15525126864000. Its totient is φ = 1185009638400.

The previous prime is 4444425053969. The next prime is 4444425054001. The reversal of 4444425054000 is 4505244444.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4444425054001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170933001 + ... + 170958999.

It is an arithmetic number, because the mean of its divisors is an integer number (64688028600).

Almost surely, 2^{4444425054000} is an apocalyptic number.

4444425054000 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 4444425054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7762563432000).

4444425054000 is an abundant number, since it is smaller than the sum of its proper divisors (11080701810000).

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

4444425054000 is a wasteful number, since it uses less digits than its factorization.

4444425054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35525 (or 35506 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 36.

The spelling of 4444425054000 in words is "four trillion, four hundred forty-four billion, four hundred twenty-five million, fifty-four thousand".