144019984221300 has 288 divisors, whose sum is σ = 455828500108800. Its totient is φ = 34818062400000.

The previous prime is 144019984221193. The next prime is 144019984221319. The reversal of 144019984221300 is 3122489910441.

It is a self number, because there is not a number n which added to its sum of digits gives 144019984221300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4174354050 + ... + 4174388550.

It is an arithmetic number, because the mean of its divisors is an integer number (1582737847600).

Almost surely, 2^{144019984221300} is an apocalyptic number.

144019984221300 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 144019984221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227914250054400).

144019984221300 is an abundant number, since it is smaller than the sum of its proper divisors (311808515887500).

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

144019984221300 is a wasteful number, since it uses less digits than its factorization.

144019984221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37967 (or 37960 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 144019984221300 in words is "one hundred forty-four trillion, nineteen billion, nine hundred eighty-four million, two hundred twenty-one thousand, three hundred".