144233240434440 has 256 divisors, whose sum is σ = 457138971648000. Its totient is φ = 36304740264960.

The previous prime is 144233240434427. The next prime is 144233240434447. The reversal of 144233240434440 is 44434042332441.

It is a super-2 number, since 2×144233240434440² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144233240434392 and 144233240434401.

It is not an unprimeable number, because it can be changed into a prime (144233240434447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1473658705 + ... + 1473756575.

It is an arithmetic number, because the mean of its divisors is an integer number (1785699108000).

Almost surely, 2^{144233240434440} is an apocalyptic number.

144233240434440 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 144233240434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228569485824000).

144233240434440 is an abundant number, since it is smaller than the sum of its proper divisors (312905731213560).

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

144233240434440 is a wasteful number, since it uses less digits than its factorization.

144233240434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100260 (or 100256 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 42.

Adding to 144233240434440 its reverse (44434042332441), we get a palindrome (188667282766881).

The spelling of 144233240434440 in words is "one hundred forty-four trillion, two hundred thirty-three billion, two hundred forty million, four hundred thirty-four thousand, four hundred forty".