144434220000 has 240 divisors, whose sum is σ = 541456578432. Its totient is φ = 33013440000.

The previous prime is 144434219987. The next prime is 144434220037. The reversal of 144434220000 is 22434441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×144434220000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 39 ways as a sum of consecutive naturals, for example, 248055 + ... + 591945.

Almost surely, 2^144434220000 is an apocalyptic number.

144434220000 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 144434220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270728289216).

144434220000 is an abundant number, since it is smaller than the sum of its proper divisors (397022358432).

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

144434220000 is an equidigital number, since it uses as much as digits as its factorization.

144434220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343931 (or 343908 counting only the distinct ones).

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

Adding to 144434220000 its reverse (22434441), we get a palindrome (144456654441).

The spelling of 144434220000 in words is "one hundred forty-four billion, four hundred thirty-four million, two hundred twenty thousand".