444444444400 has 240 divisors, whose sum is σ = 1197794336256. Its totient is φ = 157075200000.

The previous prime is 444444444377. The next prime is 444444444401. The reversal of 444444444400 is 4444444444.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444444444401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48883855 + ... + 48892945.

Almost surely, 2^444444444400 is an apocalyptic number.

444444444400 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 444444444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598897168128).

444444444400 is an abundant number, since it is smaller than the sum of its proper divisors (753349891856).

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

444444444400 is a wasteful number, since it uses less digits than its factorization.

444444444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9432 (or 9421 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 40.

Adding to 444444444400 its reverse (4444444444), we get a palindrome (448888888844).

444444444400 divided by its reverse (4444444444) gives a square (100 = 10²).

It can be divided in two parts, 4444444 and 44400, that added together give a palindrome (4488844).

The spelling of 444444444400 in words is "four hundred forty-four billion, four hundred forty-four million, four hundred forty-four thousand, four hundred".