144243728640 has 864 divisors, whose sum is σ = 573234076800. Its totient is φ = 34060124160.

The previous prime is 144243728639. The next prime is 144243728647. The reversal of 144243728640 is 46827342441.

144243728640 is a `hidden beast` number, since 144 + 24 + 372 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144243728647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1323336906 + ... + 1323337014.

Almost surely, 2^144243728640 is an apocalyptic number.

144243728640 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 144243728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286617038400).

144243728640 is an abundant number, since it is smaller than the sum of its proper divisors (428990348160).

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

144243728640 is a wasteful number, since it uses less digits than its factorization.

144243728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 144243728640 in words is "one hundred forty-four billion, two hundred forty-three million, seven hundred twenty-eight thousand, six hundred forty".