2444003442000 has 200 divisors, whose sum is σ = 8827922054952. Its totient is φ = 651734208000.

The previous prime is 2444003441983. The next prime is 2444003442031. The reversal of 2444003442000 is 2443004442.

It is a happy number.

2444003442000 is a `hidden beast` number, since 24 + 4 + 400 + 34 + 4 + 200 + 0 = 666.

2444003442000 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 4 ways, for example, as 43462242576 + 2400541199424 = 208476^2 + 1549368^2 .

It is a tau number, because it is divible by the number of its divisors (200).

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7381221 + ... + 7705220.

Almost surely, 2^{2444003442000} is an apocalyptic number.

2444003442000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2444003442000 is an abundant number, since it is smaller than the sum of its proper divisors (6383918612952).

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

2444003442000 is a wasteful number, since it uses less digits than its factorization.

2444003442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15086476 (or 15086451 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 2444003442000 its reverse (2443004442), we get a palindrome (2446446446442).

It can be divided in two parts, 2444003 and 442000, that added together give a triangular number (2886003 = T₂₄₀₂).

The spelling of 2444003442000 in words is "two trillion, four hundred forty-four billion, three million, four hundred forty-two thousand".