144332421332000 has 768 divisors, whose sum is σ = 413681597521920. Its totient is φ = 48939710976000.

The previous prime is 144332421331951. The next prime is 144332421332017. The reversal of 144332421332000 is 233124233441.

144332421332000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 127 ways as a sum of consecutive naturals, for example, 14380030982 + ... + 14380041018.

It is an arithmetic number, because the mean of its divisors is an integer number (538647913440).

Almost surely, 2^{144332421332000} is an apocalyptic number.

144332421332000 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 144332421332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206840798760960).

144332421332000 is an abundant number, since it is smaller than the sum of its proper divisors (269349176189920).

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

144332421332000 is a wasteful number, since it uses less digits than its factorization.

144332421332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10362 (or 10344 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 144332421332000 its reverse (233124233441), we get a palindrome (144565545565441).

The spelling of 144332421332000 in words is "one hundred forty-four trillion, three hundred thirty-two billion, four hundred twenty-one million, three hundred thirty-two thousand".