144041428128 has 384 divisors, whose sum is σ = 438685632000. Its totient is φ = 40991588352.

The previous prime is 144041428123. The next prime is 144041428183. The reversal of 144041428128 is 821824140441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (144041428123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 460196100 + ... + 460196412.

It is an arithmetic number, because the mean of its divisors is an integer number (1142410500).

Almost surely, 2^144041428128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144041428128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219342816000).

144041428128 is an abundant number, since it is smaller than the sum of its proper divisors (294644203872).

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

144041428128 is a wasteful number, since it uses less digits than its factorization.

144041428128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 39.

Adding to 144041428128 its reverse (821824140441), we get a palindrome (965865568569).

The spelling of 144041428128 in words is "one hundred forty-four billion, forty-one million, four hundred twenty-eight thousand, one hundred twenty-eight".