144410002000000 has 896 divisors, whose sum is σ = 419600954039040. Its totient is φ = 48921600000000.

The previous prime is 144410001999953. The next prime is 144410002000001. The reversal of 144410002000000 is 200014441.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (144410002000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 37773998089 + ... + 37774001911.

Almost surely, 2^{144410002000000} is an apocalyptic number.

144410002000000 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 144410002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209800477019520).

144410002000000 is an abundant number, since it is smaller than the sum of its proper divisors (275190952039040).

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

144410002000000 is an equidigital number, since it uses as much as digits as its factorization.

144410002000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 144410002000000 its reverse (200014441), we get a palindrome (144410202014441).

The spelling of 144410002000000 in words is "one hundred forty-four trillion, four hundred ten billion, two million", and thus it is an aban number.