44400400000 has 192 divisors, whose sum is σ = 120623217120. Its totient is φ = 16144000000.

The previous prime is 44400399997. The next prime is 44400400013. The reversal of 44400400000 is 400444.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4394955 + ... + 4405045.

Almost surely, 2^44400400000 is an apocalyptic number.

44400400000 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 44400400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60311608560).

44400400000 is an abundant number, since it is smaller than the sum of its proper divisors (76222817120).

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

44400400000 is an equidigital number, since it uses as much as digits as its factorization.

44400400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10141 (or 10109 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 44400400000 its reverse (400444), we get a palindrome (44400800444).

The spelling of 44400400000 in words is "forty-four billion, four hundred million, four hundred thousand".