444488044800 has 432 divisors, whose sum is σ = 1512118496000. Its totient is φ = 114900664320.

The previous prime is 444488044711. The next prime is 444488044807. The reversal of 444488044800 is 8440884444.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 444488044800.

It is not an unprimeable number, because it can be changed into a prime (444488044807) 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, 222354201 + ... + 222356199.

Almost surely, 2^444488044800 is an apocalyptic number.

444488044800 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 444488044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756059248000).

444488044800 is an abundant number, since it is smaller than the sum of its proper divisors (1067630451200).

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

444488044800 is a wasteful number, since it uses less digits than its factorization.

444488044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 48.

The spelling of 444488044800 in words is "four hundred forty-four billion, four hundred eighty-eight million, forty-four thousand, eight hundred".