44000444400 has 480 divisors, whose sum is σ = 164825307648. Its totient is φ = 9924710400.

The previous prime is 44000444393. The next prime is 44000444419. The reversal of 44000444400 is 444400044.

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 a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11231242 + ... + 11235158.

Almost surely, 2^44000444400 is an apocalyptic number.

44000444400 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 44000444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82412653824).

44000444400 is an abundant number, since it is smaller than the sum of its proper divisors (120824863248).

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

44000444400 is a wasteful number, since it uses less digits than its factorization.

44000444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4009 (or 3998 counting only the distinct ones).

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

Adding to 44000444400 its reverse (444400044), we get a palindrome (44444844444).

The spelling of 44000444400 in words is "forty-four billion, four hundred forty-four thousand, four hundred".