144334000011040 has 72 divisors (see below), whose sum is σ = 396660760766172. Its totient is φ = 49485942858240.

The previous prime is 144334000010957. The next prime is 144334000011041. The reversal of 144334000011040 is 40110000433441.

It can be written as a sum of positive squares in 2 ways, for example, as 121680931304464 + 22653068706576 = 11030908^2 + 4759524^2 .

It is a junction number, because it is equal to n+sod(n) for n = 144334000010996 and 144334000011014.

It is not an unprimeable number, because it can be changed into a prime (144334000011041) 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 11 ways as a sum of consecutive naturals, for example, 9204966651 + ... + 9204982330.

Almost surely, 2^{144334000011040} is an apocalyptic number.

144334000011040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144334000011040 is an abundant number, since it is smaller than the sum of its proper divisors (252326760755132).

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

144334000011040 is a wasteful number, since it uses less digits than its factorization.

144334000011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18409949010 (or 18409948995 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 144334000011040 its reverse (40110000433441), we get a palindrome (184444000444481).

The spelling of 144334000011040 in words is "one hundred forty-four trillion, three hundred thirty-four billion, eleven thousand, forty".