144234242240 has 224 divisors, whose sum is σ = 389662781760. Its totient is φ = 50370969600.

The previous prime is 144234242239. The next prime is 144234242249. The reversal of 144234242240 is 42242432441.

It is a super-3 number, since 3×144234242240³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 144234242197 and 144234242206.

It is not an unprimeable number, because it can be changed into a prime (144234242249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19697780 + ... + 19705100.

It is an arithmetic number, because the mean of its divisors is an integer number (1739565990).

Almost surely, 2^144234242240 is an apocalyptic number.

144234242240 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 144234242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194831390880).

144234242240 is an abundant number, since it is smaller than the sum of its proper divisors (245428539520).

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

144234242240 is a wasteful number, since it uses less digits than its factorization.

144234242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7571 (or 7561 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 144234242240 its reverse (42242432441), we get a palindrome (186476674681).

The spelling of 144234242240 in words is "one hundred forty-four billion, two hundred thirty-four million, two hundred forty-two thousand, two hundred forty".