444000332242200 has 192 divisors, whose sum is σ = 1436527116380160. Its totient is φ = 113229977681920.

The previous prime is 444000332242199. The next prime is 444000332242217. The reversal of 444000332242200 is 2242233000444.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67038232 + ... + 73362968.

It is an arithmetic number, because the mean of its divisors is an integer number (7481912064480).

Almost surely, 2^{444000332242200} is an apocalyptic number.

444000332242200 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 444000332242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718263558190080).

444000332242200 is an abundant number, since it is smaller than the sum of its proper divisors (992526784137960).

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

444000332242200 is a wasteful number, since it uses less digits than its factorization.

444000332242200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6329866 (or 6329857 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 444000332242200 its reverse (2242233000444), we get a palindrome (446242565242644).

The spelling of 444000332242200 in words is "four hundred forty-four trillion, three hundred thirty-two million, two hundred forty-two thousand, two hundred".