4014444240000 has 800 divisors, whose sum is σ = 15019359563340. Its totient is φ = 1064033280000.

The previous prime is 4014444239987. The next prime is 4014444240011. The reversal of 4014444240000 is 424444104.

4014444240000 is a `hidden beast` number, since 40 + 144 + 442 + 40 + 0 + 0 + 0 = 666.

4014444240000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 130170867264 + 3884273372736 = 360792^2 + 1970856^2 .

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×4014444240000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1121038210 + ... + 1121041790.

Almost surely, 2^{4014444240000} is an apocalyptic number.

4014444240000 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 4014444240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7509679781670).

4014444240000 is an abundant number, since it is smaller than the sum of its proper divisors (11004915323340).

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

4014444240000 is an equidigital number, since it uses as much as digits as its factorization.

4014444240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800 (or 3764 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 4014444240000 its reverse (424444104), we get a palindrome (4014868684104).

The spelling of 4014444240000 in words is "four trillion, fourteen billion, four hundred forty-four million, two hundred forty thousand".