4440121422400 has 84 divisors (see below), whose sum is σ = 10932514969572. Its totient is φ = 1774903951360.

The previous prime is 4440121422383. The next prime is 4440121422437. The reversal of 4440121422400 is 42241210444.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 249224602176 + 4190896820224 = 499224^2 + 2047168^2 .

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 11 ways as a sum of consecutive naturals, for example, 1591344 + ... + 3378256.

It is an arithmetic number, because the mean of its divisors is an integer number (130148987733).

Almost surely, 2^{4440121422400} is an apocalyptic number.

4440121422400 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 4440121422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5466257484786).

4440121422400 is an abundant number, since it is smaller than the sum of its proper divisors (6492393547172).

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

4440121422400 is a wasteful number, since it uses less digits than its factorization.

4440121422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788488 (or 1788473 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 4440121422400 its reverse (42241210444), we get a palindrome (4482362632844).

It can be divided in two parts, 4440121 and 422400, that added together give a triangular number (4862521 = T₃₁₁₈).

The spelling of 4440121422400 in words is "four trillion, four hundred forty billion, one hundred twenty-one million, four hundred twenty-two thousand, four hundred".