4044020442400 has 144 divisors (see below), whose sum is σ = 10029375453888. Its totient is φ = 1591979648000.

The previous prime is 4044020442389. The next prime is 4044020442403. The reversal of 4044020442400 is 42440204404.

It is not an unprimeable number, because it can be changed into a prime (4044020442403) 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, 31915170 + ... + 32041630.

It is an arithmetic number, because the mean of its divisors is an integer number (69648440652).

Almost surely, 2^{4044020442400} is an apocalyptic number.

4044020442400 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 4044020442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5014687726944).

4044020442400 is an abundant number, since it is smaller than the sum of its proper divisors (5985355011488).

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

4044020442400 is a wasteful number, since it uses less digits than its factorization.

4044020442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127115 (or 127102 counting only the distinct ones).

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

Adding to 4044020442400 its reverse (42440204404), we get a palindrome (4086460646804).

The spelling of 4044020442400 in words is "four trillion, forty-four billion, twenty million, four hundred forty-two thousand, four hundred".