144241388928 has 1440 divisors, whose sum is σ = 586687830960. Its totient is φ = 34247245824.

The previous prime is 144241388927. The next prime is 144241388933. The reversal of 144241388928 is 829883142441.

144241388928 is a `hidden beast` number, since 1 + 4 + 424 + 138 + 89 + 2 + 8 = 666.

144241388928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144241388927) by changing a digit.

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 179 ways as a sum of consecutive naturals, for example, 6271364725 + ... + 6271364747.

Almost surely, 2^144241388928 is an apocalyptic number.

144241388928 is a gapful number since it is divisible by the number (18) 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 144241388928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293343915480).

144241388928 is an abundant number, since it is smaller than the sum of its proper divisors (442446442032).

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

144241388928 is a wasteful number, since it uses less digits than its factorization.

144241388928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 65 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The spelling of 144241388928 in words is "one hundred forty-four billion, two hundred forty-one million, three hundred eighty-eight thousand, nine hundred twenty-eight".