144311240414340 has 288 divisors, whose sum is σ = 476974736784000. Its totient is φ = 35178087684096.

The previous prime is 144311240414191. The next prime is 144311240414351. The reversal of 144311240414340 is 43414042113441.

144311240414340 is a `hidden beast` number, since 1 + 4 + 4 + 31 + 1 + 240 + 41 + 4 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144311240414295 and 144311240414304.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 156144472 + ... + 157065968.

It is an arithmetic number, because the mean of its divisors is an integer number (1656162280500).

Almost surely, 2^{144311240414340} is an apocalyptic number.

144311240414340 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 144311240414340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238487368392000).

144311240414340 is an abundant number, since it is smaller than the sum of its proper divisors (332663496369660).

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

144311240414340 is a wasteful number, since it uses less digits than its factorization.

144311240414340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923139 (or 923134 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 144311240414340 its reverse (43414042113441), we get a palindrome (187725282527781).

The spelling of 144311240414340 in words is "one hundred forty-four trillion, three hundred eleven billion, two hundred forty million, four hundred fourteen thousand, three hundred forty".