144042042214000 has 160 divisors (see below), whose sum is σ = 404796505651200. Its totient is φ = 48548794579200.

The previous prime is 144042042213983. The next prime is 144042042214033. The reversal of 144042042214000 is 412240240441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 144042042214000.

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 31 ways as a sum of consecutive naturals, for example, 86366520 + ... + 88018519.

It is an arithmetic number, because the mean of its divisors is an integer number (2529978160320).

Almost surely, 2^{144042042214000} is an apocalyptic number.

144042042214000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144042042214000 is an abundant number, since it is smaller than the sum of its proper divisors (260754463437200).

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

144042042214000 is a wasteful number, since it uses less digits than its factorization.

144042042214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174385128 (or 174385112 counting only the distinct ones).

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

Adding to 144042042214000 its reverse (412240240441), we get a palindrome (144454282454441).

The spelling of 144042042214000 in words is "one hundred forty-four trillion, forty-two billion, forty-two million, two hundred fourteen thousand".