444400404000 has 768 divisors, whose sum is σ = 1716204672000. Its totient is φ = 100477440000.

The previous prime is 444400403977. The next prime is 444400404001. The reversal of 444400404000 is 404004444.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (444400404001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 415715466 + ... + 415716534.

It is an arithmetic number, because the mean of its divisors is an integer number (2234641500).

Almost surely, 2^444400404000 is an apocalyptic number.

444400404000 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 444400404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858102336000).

444400404000 is an abundant number, since it is smaller than the sum of its proper divisors (1271804268000).

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

444400404000 is a wasteful number, since it uses less digits than its factorization.

444400404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 444400404000 its reverse (404004444), we get a palindrome (444804408444).

The spelling of 444400404000 in words is "four hundred forty-four billion, four hundred million, four hundred four thousand".