144120004314000 has 1280 divisors, whose sum is σ = 549925954486272. Its totient is φ = 32012236800000.

The previous prime is 144120004313983. The next prime is 144120004314007. The reversal of 144120004314000 is 413400021441.

It is a super-3 number, since 3×144120004314000³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (144120004314007) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 72313097004 + ... + 72313098996.

Almost surely, 2^{144120004314000} is an apocalyptic number.

144120004314000 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 144120004314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274962977243136).

144120004314000 is an abundant number, since it is smaller than the sum of its proper divisors (405805950172272).

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

144120004314000 is a wasteful number, since it uses less digits than its factorization.

144120004314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 144120004314000 its reverse (413400021441), we get a palindrome (144533404335441).

The spelling of 144120004314000 in words is "one hundred forty-four trillion, one hundred twenty billion, four million, three hundred fourteen thousand".