4424201442000 has 120 divisors (see below), whose sum is σ = 15452260965960. Its totient is φ = 1179787046400.

The previous prime is 4424201441941. The next prime is 4424201442007. The reversal of 4424201442000 is 2441024244.

4424201442000 is a `hidden beast` number, since 4 + 424 + 20 + 14 + 4 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1195164951696 + 3229036490304 = 1093236^2 + 1796952^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4424201442007) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 122876485 + ... + 122912484.

It is an arithmetic number, because the mean of its divisors is an integer number (128768841383).

Almost surely, 2^{4424201442000} is an apocalyptic number.

4424201442000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4424201442000 is an abundant number, since it is smaller than the sum of its proper divisors (11028059523960).

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

4424201442000 is a wasteful number, since it uses less digits than its factorization.

4424201442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245788998 (or 245788979 counting only the distinct ones).

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

Adding to 4424201442000 its reverse (2441024244), we get a palindrome (4426642466244).

The spelling of 4424201442000 in words is "four trillion, four hundred twenty-four billion, two hundred one million, four hundred forty-two thousand".