144424300020 has 768 divisors, whose sum is σ = 590585167872. Its totient is φ = 25360957440.

The previous prime is 144424299979. The next prime is 144424300021. The reversal of 144424300020 is 20003424441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144424300021) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 37775829 + ... + 37779651.

It is an arithmetic number, because the mean of its divisors is an integer number (768991104).

Almost surely, 2^144424300020 is an apocalyptic number.

144424300020 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 144424300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295292583936).

144424300020 is an abundant number, since it is smaller than the sum of its proper divisors (446160867852).

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

144424300020 is a wasteful number, since it uses less digits than its factorization.

144424300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3920 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 144424300020 its reverse (20003424441), we get a palindrome (164427724461).

It can be divided in two parts, 144424 and 300020, that added together give a palindrome (444444).

The spelling of 144424300020 in words is "one hundred forty-four billion, four hundred twenty-four million, three hundred thousand, twenty".