144333141044440 has 128 divisors (see below), whose sum is σ = 348640498624320. Its totient is φ = 53584844800000.

The previous prime is 144333141044401. The next prime is 144333141044453. The reversal of 144333141044440 is 44440141333441.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 144333141044393 and 144333141044402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13052364 + ... + 21424996.

Almost surely, 2^{144333141044440} is an apocalyptic number.

144333141044440 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 144333141044440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174320249312160).

144333141044440 is an abundant number, since it is smaller than the sum of its proper divisors (204307357579880).

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

144333141044440 is a wasteful number, since it uses less digits than its factorization.

144333141044440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8373013 (or 8373009 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 40.

Adding to 144333141044440 its reverse (44440141333441), we get a palindrome (188773282377881).

The spelling of 144333141044440 in words is "one hundred forty-four trillion, three hundred thirty-three billion, one hundred forty-one million, forty-four thousand, four hundred forty".