444322221404000 has 192 divisors, whose sum is σ = 1127156005108224. Its totient is φ = 171959040000000.

The previous prime is 444322221403993. The next prime is 444322221404101. The reversal of 444322221404000 is 404122223444.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585024500 + ... + 585783500.

It is an arithmetic number, because the mean of its divisors is an integer number (5870604193272).

Almost surely, 2^{444322221404000} is an apocalyptic number.

444322221404000 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 444322221404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563578002554112).

444322221404000 is an abundant number, since it is smaller than the sum of its proper divisors (682833783704224).

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

444322221404000 is a wasteful number, since it uses less digits than its factorization.

444322221404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763778 (or 763760 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 444322221404000 its reverse (404122223444), we get a palindrome (444726343627444).

The spelling of 444322221404000 in words is "four hundred forty-four trillion, three hundred twenty-two billion, two hundred twenty-one million, four hundred four thousand".