144044104034340 has 144 divisors (see below), whose sum is σ = 454889966604528. Its totient is φ = 36861638049792.

The previous prime is 144044104034339. The next prime is 144044104034401. The reversal of 144044104034340 is 43430401440441.

144044104034340 is a `hidden beast` number, since 1 + 440 + 44 + 104 + 0 + 34 + 3 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2480700600576 + 141563403433764 = 1575024^2 + 11898042^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144044104034295 and 144044104034304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147652477 + ... + 148624836.

Almost surely, 2^{144044104034340} is an apocalyptic number.

144044104034340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144044104034340 is an abundant number, since it is smaller than the sum of its proper divisors (310845862570188).

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

144044104034340 is a wasteful number, since it uses less digits than its factorization.

144044104034340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296277438 (or 296277433 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 144044104034340 its reverse (43430401440441), we get a palindrome (187474505474781).

The spelling of 144044104034340 in words is "one hundred forty-four trillion, forty-four billion, one hundred four million, thirty-four thousand, three hundred forty".