144034022413000 has 256 divisors, whose sum is σ = 348539204482560. Its totient is φ = 55690887168000.

The previous prime is 144034022412983. The next prime is 144034022413063. The reversal of 144034022413000 is 314220430441.

It is a super-2 number, since 2×144034022413000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144034022413000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 736811272 + ... + 737006728.

It is an arithmetic number, because the mean of its divisors is an integer number (1361481267510).

Almost surely, 2^{144034022413000} is an apocalyptic number.

144034022413000 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 144034022413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174269602241280).

144034022413000 is an abundant number, since it is smaller than the sum of its proper divisors (204505182069560).

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

144034022413000 is a wasteful number, since it uses less digits than its factorization.

144034022413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195753 (or 195739 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 144034022413000 its reverse (314220430441), we get a palindrome (144348242843441).

The spelling of 144034022413000 in words is "one hundred forty-four trillion, thirty-four billion, twenty-two million, four hundred thirteen thousand".