144312020304000 has 256 divisors, whose sum is σ = 478618550092800. Its totient is φ = 38465170022400.

The previous prime is 144312020303987. The next prime is 144312020304031. The reversal of 144312020304000 is 403020213441.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101872561 + ... + 103279439.

It is an arithmetic number, because the mean of its divisors is an integer number (1869603711300).

Almost surely, 2^{144312020304000} is an apocalyptic number.

144312020304000 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 144312020304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239309275046400).

144312020304000 is an abundant number, since it is smaller than the sum of its proper divisors (334306529788800).

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

144312020304000 is a wasteful number, since it uses less digits than its factorization.

144312020304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409048 (or 1409026 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 144312020304000 its reverse (403020213441), we get a palindrome (144715040517441).

The spelling of 144312020304000 in words is "one hundred forty-four trillion, three hundred twelve billion, twenty million, three hundred four thousand".