44404044440400 has 360 divisors, whose sum is σ = 159505276596224. Its totient is φ = 11430328089600.

The previous prime is 44404044440333. The next prime is 44404044440407. The reversal of 44404044440400 is 404444040444.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44404044440407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15603945 + ... + 18228855.

Almost surely, 2^{44404044440400} is an apocalyptic number.

44404044440400 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 44404044440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79752638298112).

44404044440400 is an abundant number, since it is smaller than the sum of its proper divisors (115101232155824).

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

44404044440400 is a wasteful number, since it uses less digits than its factorization.

44404044440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625099 (or 2625085 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 44404044440400 its reverse (404444040444), we get a palindrome (44808488480844).

The spelling of 44404044440400 in words is "forty-four trillion, four hundred four billion, forty-four million, four hundred forty thousand, four hundred".