144240112010040 has 256 divisors, whose sum is σ = 448460376336000. Its totient is φ = 37089259192320.

The previous prime is 144240112010011. The next prime is 144240112010041. The reversal of 144240112010040 is 40010211042441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144240112010041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153887926 + ... + 154822394.

Almost surely, 2^{144240112010040} is an apocalyptic number.

144240112010040 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 144240112010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224230188168000).

144240112010040 is an abundant number, since it is smaller than the sum of its proper divisors (304220264325960).

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

144240112010040 is a wasteful number, since it uses less digits than its factorization.

144240112010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934890 (or 934886 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 144240112010040 its reverse (40010211042441), we get a palindrome (184250323052481).

The spelling of 144240112010040 in words is "one hundred forty-four trillion, two hundred forty billion, one hundred twelve million, ten thousand, forty".