144314343040 has 128 divisors (see below), whose sum is σ = 397778065920. Its totient is φ = 49041162240.

The previous prime is 144314343023. The next prime is 144314343127. The reversal of 144314343040 is 40343413441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 144314342993 and 144314343011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363705 + ... + 648775.

It is an arithmetic number, because the mean of its divisors is an integer number (3107641140).

Almost surely, 2^144314343040 is an apocalyptic number.

144314343040 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 144314343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198889032960).

144314343040 is an abundant number, since it is smaller than the sum of its proper divisors (253463722880).

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

144314343040 is a wasteful number, since it uses less digits than its factorization.

144314343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285210 (or 285198 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 144314343040 its reverse (40343413441), we get a palindrome (184657756481).

The spelling of 144314343040 in words is "one hundred forty-four billion, three hundred fourteen million, three hundred forty-three thousand, forty".