144104132413440 has 576 divisors, whose sum is σ = 529563586406400. Its totient is φ = 36139462557696.

The previous prime is 144104132413411. The next prime is 144104132413463. The reversal of 144104132413440 is 44314231401441.

144104132413440 is a `hidden beast` number, since 1 + 4 + 4 + 104 + 132 + 413 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 144104132413395 and 144104132413404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239592129 + ... + 240192831.

It is an arithmetic number, because the mean of its divisors is an integer number (919381226400).

Almost surely, 2^{144104132413440} is an apocalyptic number.

144104132413440 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 144104132413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264781793203200).

144104132413440 is an abundant number, since it is smaller than the sum of its proper divisors (385459453992960).

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

144104132413440 is a wasteful number, since it uses less digits than its factorization.

144104132413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600892 (or 600869 counting only the distinct ones).

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

Adding to 144104132413440 its reverse (44314231401441), we get a palindrome (188418363814881).

The spelling of 144104132413440 in words is "one hundred forty-four trillion, one hundred four billion, one hundred thirty-two million, four hundred thirteen thousand, four hundred forty".