444214340200 has 96 divisors (see below), whose sum is σ = 1036756143360. Its totient is φ = 177005849600.

The previous prime is 444214340189. The next prime is 444214340209. The reversal of 444214340200 is 2043412444.

It is not an unprimeable number, because it can be changed into a prime (444214340209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94451049 + ... + 94455751.

It is an arithmetic number, because the mean of its divisors is an integer number (10799543160).

Almost surely, 2^444214340200 is an apocalyptic number.

444214340200 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 444214340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518378071680).

444214340200 is an abundant number, since it is smaller than the sum of its proper divisors (592541803160).

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

444214340200 is a wasteful number, since it uses less digits than its factorization.

444214340200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6427 (or 6418 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 444214340200 its reverse (2043412444), we get a palindrome (446257752644).

The spelling of 444214340200 in words is "four hundred forty-four billion, two hundred fourteen million, three hundred forty thousand, two hundred".