44440004400 has 480 divisors, whose sum is σ = 167924371200. Its totient is φ = 9928396800.

The previous prime is 44440004377. The next prime is 44440004447. The reversal of 44440004400 is 440004444.

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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9277206 + ... + 9281994.

It is an arithmetic number, because the mean of its divisors is an integer number (349842440).

Almost surely, 2^44440004400 is an apocalyptic number.

44440004400 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 44440004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83962185600).

44440004400 is an abundant number, since it is smaller than the sum of its proper divisors (123484366800).

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

44440004400 is a wasteful number, since it uses less digits than its factorization.

44440004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4877 (or 4866 counting only the distinct ones).

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

Adding to 44440004400 its reverse (440004444), we get a palindrome (44880008844).

The spelling of 44440004400 in words is "forty-four billion, four hundred forty million, four thousand, four hundred".