444994849488000 has 4096 divisors, whose sum is σ = 1871109443174400. Its totient is φ = 91299446784000.

The previous prime is 444994849487983. The next prime is 444994849488041. The reversal of 444994849488000 is 884948499444.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2258857103902 + ... + 2258857104098.

It is an arithmetic number, because the mean of its divisors is an integer number (456813828900).

Almost surely, 2^{444994849488000} is an apocalyptic number.

444994849488000 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 444994849488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935554721587200).

444994849488000 is an abundant number, since it is smaller than the sum of its proper divisors (1426114593686400).

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

444994849488000 is a wasteful number, since it uses less digits than its factorization.

444994849488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1528823808, while the sum is 75.

The spelling of 444994849488000 in words is "four hundred forty-four trillion, nine hundred ninety-four billion, eight hundred forty-nine million, four hundred eighty-eight thousand".