4044212440224 has 192 divisors, whose sum is σ = 12220471710720. Its totient is φ = 1159063685120.

The previous prime is 4044212440193. The next prime is 4044212440241. The reversal of 4044212440224 is 4220442124404.

4044212440224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1226179 + ... + 3097085.

It is an arithmetic number, because the mean of its divisors is an integer number (63648290160).

Almost surely, 2^{4044212440224} is an apocalyptic number.

4044212440224 is a gapful number since it is divisible by the number (44) 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 4044212440224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6110235855360).

4044212440224 is an abundant number, since it is smaller than the sum of its proper divisors (8176259270496).

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

4044212440224 is a wasteful number, since it uses less digits than its factorization.

4044212440224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871043 (or 1871035 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 33.

Adding to 4044212440224 its reverse (4220442124404), we get a palindrome (8264654564628).

The spelling of 4044212440224 in words is "four trillion, forty-four billion, two hundred twelve million, four hundred forty thousand, two hundred twenty-four".