4446343440000 has 2880 divisors, whose sum is σ = 21023961678720. Its totient is φ = 880957440000.

The previous prime is 4446343439933. The next prime is 4446343440001. The reversal of 4446343440000 is 443436444.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4446343440001) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 14026319842 + ... + 14026320158.

It is an arithmetic number, because the mean of its divisors is an integer number (7299986694).

Almost surely, 2^{4446343440000} is an apocalyptic number.

4446343440000 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 4446343440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10511980839360).

4446343440000 is an abundant number, since it is smaller than the sum of its proper divisors (16577618238720).

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

4446343440000 is a wasteful number, since it uses less digits than its factorization.

4446343440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 4446343440000 its reverse (443436444), we get a palindrome (4446786876444).

The spelling of 4446343440000 in words is "four trillion, four hundred forty-six billion, three hundred forty-three million, four hundred forty thousand".