4021444434240 has 504 divisors, whose sum is σ = 14308997681160. Its totient is φ = 1036271149056.

The previous prime is 4021444434221. The next prime is 4021444434251. The reversal of 4021444434240 is 424344441204.

It is a happy number.

4021444434240 is a `hidden beast` number, since 4 + 0 + 214 + 4 + 4 + 434 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 160313753664 + 3861130680576 = 400392^2 + 1964976^2 .

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 = 4021444434195 and 4021444434204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 685198026 + ... + 685203894.

It is an arithmetic number, because the mean of its divisors is an integer number (28390868415).

Almost surely, 2^{4021444434240} is an apocalyptic number.

4021444434240 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 4021444434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7154498840580).

4021444434240 is an abundant number, since it is smaller than the sum of its proper divisors (10287553246920).

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

4021444434240 is a wasteful number, since it uses less digits than its factorization.

4021444434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6079 (or 5999 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 4021444434240 its reverse (424344441204), we get a palindrome (4445788875444).

It can be divided in two parts, 402144 and 4434240, that added together give a palindrome (4836384).

The spelling of 4021444434240 in words is "four trillion, twenty-one billion, four hundred forty-four million, four hundred thirty-four thousand, two hundred forty".