4142144000440 has 32 divisors (see below), whose sum is σ = 9322444457280. Its totient is φ = 1656391741312.

The previous prime is 4142144000417. The next prime is 4142144000443. The reversal of 4142144000440 is 440004412414.

It is a junction number, because it is equal to n+sod(n) for n = 4142144000399 and 4142144000408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142144000443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14414032 + ... + 14698591.

It is an arithmetic number, because the mean of its divisors is an integer number (291326389290).

Almost surely, 2^{4142144000440} is an apocalyptic number.

4142144000440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4142144000440 is an abundant number, since it is smaller than the sum of its proper divisors (5180300456840).

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

4142144000440 is a wasteful number, since it uses less digits than its factorization.

4142144000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29116191 (or 29116187 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 4142144000440 its reverse (440004412414), we get a palindrome (4582148412854).

The spelling of 4142144000440 in words is "four trillion, one hundred forty-two billion, one hundred forty-four million, four hundred forty", and thus it is an aban number.