144430440000 has 1680 divisors, whose sum is σ = 633209808000. Its totient is φ = 28976640000.

The previous prime is 144430439999. The next prime is 144430440013. The reversal of 144430440000 is 44034441.

It is a tau number, because it is divible by the number of its divisors (1680).

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4980359986 + ... + 4980360014.

It is an arithmetic number, because the mean of its divisors is an integer number (376910600).

Almost surely, 2^144430440000 is an apocalyptic number.

144430440000 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 144430440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316604904000).

144430440000 is an abundant number, since it is smaller than the sum of its proper divisors (488779368000).

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

144430440000 is an equidigital number, since it uses as much as digits as its factorization.

144430440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 57 counting only the distinct ones).

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

Adding to 144430440000 its reverse (44034441), we get a palindrome (144474474441).

The spelling of 144430440000 in words is "one hundred forty-four billion, four hundred thirty million, four hundred forty thousand".