444412464214400 has 768 divisors, whose sum is σ = 1290900777062400. Its totient is φ = 149490401280000.

The previous prime is 444412464214379. The next prime is 444412464214529. The reversal of 444412464214400 is 4412464214444.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43192964456 + ... + 43192974744.

It is an arithmetic number, because the mean of its divisors is an integer number (1680860386800).

Almost surely, 2^{444412464214400} is an apocalyptic number.

444412464214400 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 444412464214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645450388531200).

444412464214400 is an abundant number, since it is smaller than the sum of its proper divisors (846488312848000).

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

444412464214400 is a wasteful number, since it uses less digits than its factorization.

444412464214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12099 (or 12082 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 44.

Adding to 444412464214400 its sum of digits (44), we get a palindrome (444412464214444).

The spelling of 444412464214400 in words is "four hundred forty-four trillion, four hundred twelve billion, four hundred sixty-four million, two hundred fourteen thousand, four hundred".