4441242312000 has 1120 divisors, whose sum is σ = 18173567412000. Its totient is φ = 1063607500800.

The previous prime is 4441242311983. The next prime is 4441242312047. The reversal of 4441242312000 is 2132421444.

4441242312000 is a `hidden beast` number, since 4 + 4 + 412 + 42 + 3 + 1 + 200 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2483347346496 + 1957894965504 = 1575864^2 + 1399248^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 311680876 + ... + 311695124.

It is an arithmetic number, because the mean of its divisors is an integer number (16226399475).

Almost surely, 2^{4441242312000} is an apocalyptic number.

4441242312000 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 4441242312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9086783706000).

4441242312000 is an abundant number, since it is smaller than the sum of its proper divisors (13732325100000).

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

4441242312000 is a wasteful number, since it uses less digits than its factorization.

4441242312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14338 (or 14309 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4441242312000 its reverse (2132421444), we get a palindrome (4443374733444).

The spelling of 4441242312000 in words is "four trillion, four hundred forty-one billion, two hundred forty-two million, three hundred twelve thousand".