144312334430000 has 400 divisors, whose sum is σ = 388741159509120. Its totient is φ = 51438297600000.

The previous prime is 144312334429979. The next prime is 144312334430021. The reversal of 144312334430000 is 34433213441.

It is an interprime number because it is at equal distance from previous prime (144312334429979) and next prime (144312334430021).

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

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, 2251997960 + ... + 2252062040.

Almost surely, 2^{144312334430000} is an apocalyptic number.

144312334430000 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 144312334430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194370579754560).

144312334430000 is an abundant number, since it is smaller than the sum of its proper divisors (244428825079120).

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

144312334430000 is a wasteful number, since it uses less digits than its factorization.

144312334430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64526 (or 64505 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 144312334430000 its reverse (34433213441), we get a palindrome (144346767643441).

The spelling of 144312334430000 in words is "one hundred forty-four trillion, three hundred twelve billion, three hundred thirty-four million, four hundred thirty thousand".