44204042224400 has 120 divisors (see below), whose sum is σ = 107258282137728. Its totient is φ = 17505476800000.

The previous prime is 44204042224399. The next prime is 44204042224403. The reversal of 44204042224400 is 442224040244.

44204042224400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (44204042224403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1122736715 + ... + 1122776085.

Almost surely, 2^{44204042224400} is an apocalyptic number.

44204042224400 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 44204042224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53629141068864).

44204042224400 is an abundant number, since it is smaller than the sum of its proper divisors (63054239913328).

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

44204042224400 is a wasteful number, since it uses less digits than its factorization.

44204042224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67281 (or 67270 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 44204042224400 its reverse (442224040244), we get a palindrome (44646266264644).

The spelling of 44204042224400 in words is "forty-four trillion, two hundred four billion, forty-two million, two hundred twenty-four thousand, four hundred".