444455550000 has 1440 divisors, whose sum is σ = 1972961722368. Its totient is φ = 90720000000.

The previous prime is 444455549999. The next prime is 444455550043. The reversal of 444455550000 is 55554444.

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

It is a zygodrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3499649937 + ... + 3499650063.

Almost surely, 2^444455550000 is an apocalyptic number.

444455550000 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 444455550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986480861184).

444455550000 is an abundant number, since it is smaller than the sum of its proper divisors (1528506172368).

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

444455550000 is a wasteful number, since it uses less digits than its factorization.

444455550000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

The spelling of 444455550000 in words is "four hundred forty-four billion, four hundred fifty-five million, five hundred fifty thousand".