144030700800 has 1080 divisors, whose sum is σ = 640964878400. Its totient is φ = 31173672960.

The previous prime is 144030700741. The next prime is 144030700811. The reversal of 144030700800 is 8007030441.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68946156 + ... + 68948244.

Almost surely, 2^144030700800 is an apocalyptic number.

144030700800 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 144030700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320482439200).

144030700800 is an abundant number, since it is smaller than the sum of its proper divisors (496934177600).

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

144030700800 is a wasteful number, since it uses less digits than its factorization.

144030700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 144030700800 in words is "one hundred forty-four billion, thirty million, seven hundred thousand, eight hundred".