444442323244400 has 240 divisors, whose sum is σ = 1217730747056544. Its totient is φ = 154425902039040.

The previous prime is 444442323244399. The next prime is 444442323244411. The reversal of 444442323244400 is 4442323244444.

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, 603138584 + ... + 603875016.

Almost surely, 2^{444442323244400} is an apocalyptic number.

444442323244400 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 444442323244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608865373528272).

444442323244400 is an abundant number, since it is smaller than the sum of its proper divisors (773288423812144).

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

444442323244400 is a wasteful number, since it uses less digits than its factorization.

444442323244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743308 (or 743297 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 44.

Adding to 444442323244400 its sum of digits (44), we get a palindrome (444442323244444).

Adding to 444442323244400 its reverse (4442323244444), we get a palindrome (448884646488844).

The spelling of 444442323244400 in words is "four hundred forty-four trillion, four hundred forty-two billion, three hundred twenty-three million, two hundred forty-four thousand, four hundred".