44444400400 has 60 divisors (see below), whose sum is σ = 106845905844. Its totient is φ = 17766400000.

The previous prime is 44444400397. The next prime is 44444400409. The reversal of 44444400400 is 400444444.

It can be written as a sum of positive squares in 6 ways, for example, as 4135004416 + 40309395984 = 64304^2 + 200772^2 .

It is not an unprimeable number, because it can be changed into a prime (44444400409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 605700 + ... + 675100.

Almost surely, 2^44444400400 is an apocalyptic number.

44444400400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44444400400 is an abundant number, since it is smaller than the sum of its proper divisors (62401505444).

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

44444400400 is a wasteful number, since it uses less digits than its factorization.

44444400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71020 (or 71009 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 44444400400 its reverse (400444444), we get a palindrome (44844844844).

The spelling of 44444400400 in words is "forty-four billion, four hundred forty-four million, four hundred thousand, four hundred".