144108940800 has 480 divisors, whose sum is σ = 521477409024. Its totient is φ = 34791424000.

The previous prime is 144108940757. The next prime is 144108940849. The reversal of 144108940800 is 8049801441.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131365852 + ... + 131366948.

Almost surely, 2^144108940800 is an apocalyptic number.

144108940800 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 144108940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260738704512).

144108940800 is an abundant number, since it is smaller than the sum of its proper divisors (377368468224).

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

144108940800 is a wasteful number, since it uses less digits than its factorization.

144108940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 144108940800 in words is "one hundred forty-four billion, one hundred eight million, nine hundred forty thousand, eight hundred".