44434400010 has 768 divisors, whose sum is σ = 155627619840. Its totient is φ = 7965941760.

The previous prime is 44434400009. The next prime is 44434400041. The reversal of 44434400010 is 1000443444.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 225555232 + ... + 225555428.

It is an arithmetic number, because the mean of its divisors is an integer number (202640130).

Almost surely, 2^44434400010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44434400010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77813809920).

44434400010 is an abundant number, since it is smaller than the sum of its proper divisors (111193219830).

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

44434400010 is a wasteful number, since it uses less digits than its factorization.

44434400010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 44434400010 its reverse (1000443444), we get a palindrome (45434843454).

It can be divided in two parts, 44434 and 400010, that added together give a palindrome (444444).

The spelling of 44434400010 in words is "forty-four billion, four hundred thirty-four million, four hundred thousand, ten".