144104424302300 has 576 divisors, whose sum is σ = 402549947154432. Its totient is φ = 43477948800000.

The previous prime is 144104424302261. The next prime is 144104424302303. The reversal of 144104424302300 is 3203424401441.

144104424302300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144104424302303) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14554527350 + ... + 14554537250.

It is an arithmetic number, because the mean of its divisors is an integer number (698871436032).

Almost surely, 2^{144104424302300} is an apocalyptic number.

144104424302300 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 144104424302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201274973577216).

144104424302300 is an abundant number, since it is smaller than the sum of its proper divisors (258445522852132).

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

144104424302300 is a wasteful number, since it uses less digits than its factorization.

144104424302300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10418 (or 10411 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 144104424302300 its reverse (3203424401441), we get a palindrome (147307848703741).

The spelling of 144104424302300 in words is "one hundred forty-four trillion, one hundred four billion, four hundred twenty-four million, three hundred two thousand, three hundred".