144034224310000 has 400 divisors, whose sum is σ = 382312860098400. Its totient is φ = 52307361792000.

The previous prime is 144034224309973. The next prime is 144034224310063. The reversal of 144034224310000 is 13422430441.

144034224310000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×144034224310000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5684277331 + ... + 5684302669.

It is an arithmetic number, because the mean of its divisors is an integer number (955782150246).

Almost surely, 2^{144034224310000} is an apocalyptic number.

144034224310000 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 144034224310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191156430049200).

144034224310000 is an abundant number, since it is smaller than the sum of its proper divisors (238278635788400).

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

144034224310000 is a wasteful number, since it uses less digits than its factorization.

144034224310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26566 (or 26545 counting only the distinct ones).

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

Adding to 144034224310000 its reverse (13422430441), we get a palindrome (144047646740441).

The spelling of 144034224310000 in words is "one hundred forty-four trillion, thirty-four billion, two hundred twenty-four million, three hundred ten thousand".