144120444400000 has 384 divisors, whose sum is σ = 380189033532000. Its totient is φ = 54227374080000.

The previous prime is 144120444399917. The next prime is 144120444400027. The reversal of 144120444400000 is 4444021441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15415595326 + ... + 15415604674.

Almost surely, 2^{144120444400000} is an apocalyptic number.

144120444400000 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 144120444400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190094516766000).

144120444400000 is an abundant number, since it is smaller than the sum of its proper divisors (236068589132000).

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

144120444400000 is an frugal number, since it uses more digits than its factorization.

144120444400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11672 (or 11640 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 144120444400000 its reverse (4444021441), we get a palindrome (144124888421441).

The spelling of 144120444400000 in words is "one hundred forty-four trillion, one hundred twenty billion, four hundred forty-four million, four hundred thousand".