144044320200040 has 128 divisors (see below), whose sum is σ = 358121053785600. Its totient is φ = 51804554618880.

The previous prime is 144044320199987. The next prime is 144044320200091. The reversal of 144044320200040 is 40002023440441.

It is a junction number, because it is equal to n+sod(n) for n = 144044320199981 and 144044320200008.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7739649 + ... + 18654511.

It is an arithmetic number, because the mean of its divisors is an integer number (2797820732700).

Almost surely, 2^{144044320200040} is an apocalyptic number.

144044320200040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144044320200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179060526892800).

144044320200040 is an abundant number, since it is smaller than the sum of its proper divisors (214076733585560).

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

144044320200040 is a wasteful number, since it uses less digits than its factorization.

144044320200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10915547 (or 10915543 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 144044320200040 its reverse (40002023440441), we get a palindrome (184046343640481).

The spelling of 144044320200040 in words is "one hundred forty-four trillion, forty-four billion, three hundred twenty million, two hundred thousand, forty".