144240354120000 has 560 divisors, whose sum is σ = 493015245770432. Its totient is φ = 37182136320000.

The previous prime is 144240354119977. The next prime is 144240354120011. The reversal of 144240354120000 is 21453042441.

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

It is a self number, because there is not a number n which added to its sum of digits gives 144240354120000.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 500375910 + ... + 500664090.

Almost surely, 2^{144240354120000} is an apocalyptic number.

144240354120000 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 144240354120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246507622885216).

144240354120000 is an abundant number, since it is smaller than the sum of its proper divisors (348774891650432).

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

144240354120000 is an equidigital number, since it uses as much as digits as its factorization.

144240354120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288356 (or 288331 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 144240354120000 in words is "one hundred forty-four trillion, two hundred forty billion, three hundred fifty-four million, one hundred twenty thousand".