4021444440144 has 200 divisors, whose sum is σ = 12053535269160. Its totient is φ = 1292865380352.

The previous prime is 4021444440137. The next prime is 4021444440157. The reversal of 4021444440144 is 4410444441204.

It can be written as a sum of positive squares in 4 ways, for example, as 429994947600 + 3591449492544 = 655740^2 + 1895112^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 4021444440099 and 4021444440108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35159112 + ... + 35273304.

Almost surely, 2^{4021444440144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4021444440144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026767634580).

4021444440144 is an abundant number, since it is smaller than the sum of its proper divisors (8032090829016).

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

4021444440144 is a wasteful number, since it uses less digits than its factorization.

4021444440144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115179 (or 115164 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 4021444440144 its reverse (4410444441204), we get a palindrome (8431888881348).

The spelling of 4021444440144 in words is "four trillion, twenty-one billion, four hundred forty-four million, four hundred forty thousand, one hundred forty-four".