144100033342320 has 320 divisors, whose sum is σ = 495624602995200. Its totient is φ = 34338144645120.

The previous prime is 144100033342313. The next prime is 144100033342399. The reversal of 144100033342320 is 23243330001441.

It is a happy number.

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

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 63 ways as a sum of consecutive naturals, for example, 2041822554 + ... + 2041893126.

It is an arithmetic number, because the mean of its divisors is an integer number (1548826884360).

Almost surely, 2^{144100033342320} is an apocalyptic number.

144100033342320 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 144100033342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247812301497600).

144100033342320 is an abundant number, since it is smaller than the sum of its proper divisors (351524569652880).

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

144100033342320 is a wasteful number, since it uses less digits than its factorization.

144100033342320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83768 (or 83762 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 144100033342320 its reverse (23243330001441), we get a palindrome (167343363343761).

The spelling of 144100033342320 in words is "one hundred forty-four trillion, one hundred billion, thirty-three million, three hundred forty-two thousand, three hundred twenty".