4454446064000 has 256 divisors, whose sum is σ = 11575300239360. Its totient is φ = 1701520128000.

The previous prime is 4454446063993. The next prime is 4454446064009. The reversal of 4454446064000 is 4606444544.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4454446064009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232198409 + ... + 232217591.

It is an arithmetic number, because the mean of its divisors is an integer number (45216016560).

Almost surely, 2^{4454446064000} is an apocalyptic number.

4454446064000 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 4454446064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5787650119680).

4454446064000 is an abundant number, since it is smaller than the sum of its proper divisors (7120854175360).

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

4454446064000 is a wasteful number, since it uses less digits than its factorization.

4454446064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19866 (or 19844 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 41.

The spelling of 4454446064000 in words is "four trillion, four hundred fifty-four billion, four hundred forty-six million, sixty-four thousand".