144513024101040 has 160 divisors (see below), whose sum is σ = 516686147112960. Its totient is φ = 32728506596352.

The previous prime is 144513024101029. The next prime is 144513024101053. The reversal of 144513024101040 is 40101420315441.

144513024101040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 144513024100989 and 144513024101007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394402464 + ... + 394768703.

It is an arithmetic number, because the mean of its divisors is an integer number (3229288419456).

Almost surely, 2^{144513024101040} is an apocalyptic number.

144513024101040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144513024101040 is an abundant number, since it is smaller than the sum of its proper divisors (372173123011920).

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

144513024101040 is a wasteful number, since it uses less digits than its factorization.

144513024101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789171299 (or 789171293 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 144513024101040 its reverse (40101420315441), we get a palindrome (184614444416481).

The spelling of 144513024101040 in words is "one hundred forty-four trillion, five hundred thirteen billion, twenty-four million, one hundred one thousand, forty".