144024024144000 has 1024 divisors, whose sum is σ = 641038052229120. Its totient is φ = 27624978432000.

The previous prime is 144024024143957. The next prime is 144024024144023. The reversal of 144024024144000 is 441420420441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46549249 + ... + 49546751.

It is an arithmetic number, because the mean of its divisors is an integer number (626013722880).

Almost surely, 2^{144024024144000} is an apocalyptic number.

144024024144000 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 144024024144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320519026114560).

144024024144000 is an abundant number, since it is smaller than the sum of its proper divisors (497014028085120).

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

144024024144000 is a wasteful number, since it uses less digits than its factorization.

144024024144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997566 (or 2997544 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 144024024144000 its reverse (441420420441), we get a palindrome (144465444564441).

The spelling of 144024024144000 in words is "one hundred forty-four trillion, twenty-four billion, twenty-four million, one hundred forty-four thousand".