144104413431240 has 192 divisors, whose sum is σ = 481100966424000. Its totient is φ = 37381184349696.

The previous prime is 144104413431137. The next prime is 144104413431241. The reversal of 144104413431240 is 42134314401441.

144104413431240 is a `hidden beast` number, since 1 + 4 + 410 + 44 + 134 + 31 + 2 + 40 = 666.

144104413431240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 144104413431195 and 144104413431204.

It is not an unprimeable number, because it can be changed into a prime (144104413431241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60679711 + ... + 63009809.

It is an arithmetic number, because the mean of its divisors is an integer number (2505734200125).

Almost surely, 2^{144104413431240} is an apocalyptic number.

144104413431240 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 144104413431240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240550483212000).

144104413431240 is an abundant number, since it is smaller than the sum of its proper divisors (336996552992760).

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

144104413431240 is a wasteful number, since it uses less digits than its factorization.

144104413431240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334796 (or 2334789 counting only the distinct ones).

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

Adding to 144104413431240 its reverse (42134314401441), we get a palindrome (186238727832681).

The spelling of 144104413431240 in words is "one hundred forty-four trillion, one hundred four billion, four hundred thirteen million, four hundred thirty-one thousand, two hundred forty".