144044104033000 has 64 divisors (see below), whose sum is σ = 337244327194320. Its totient is φ = 57586680288000.

The previous prime is 144044104032901. The next prime is 144044104033073. The reversal of 144044104033000 is 330401440441.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 16846444131364 + 127197659901636 = 4104442^2 + 11278194^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 144044104033000.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 36839727 + ... + 40561726.

Almost surely, 2^{144044104033000} is an apocalyptic number.

144044104033000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144044104033000 is an abundant number, since it is smaller than the sum of its proper divisors (193200223161320).

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

144044104033000 is a wasteful number, since it uses less digits than its factorization.

144044104033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77403335 (or 77403321 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 144044104033000 its reverse (330401440441), we get a palindrome (144374505473441).

The spelling of 144044104033000 in words is "one hundred forty-four trillion, forty-four billion, one hundred four million, thirty-three thousand".