144213133013040 has 320 divisors, whose sum is σ = 560610244647936. Its totient is φ = 29853284438016.

The previous prime is 144213133013039. The next prime is 144213133013051. The reversal of 144213133013040 is 40310331312441.

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 = 144213133012989 and 144213133013007.

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 63 ways as a sum of consecutive naturals, for example, 61136494 + ... + 63451533.

Almost surely, 2^{144213133013040} is an apocalyptic number.

144213133013040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144213133013040 is an abundant number, since it is smaller than the sum of its proper divisors (416397111634896).

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

144213133013040 is a wasteful number, since it uses less digits than its factorization.

144213133013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124588116 (or 124588110 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 144213133013040 its reverse (40310331312441), we get a palindrome (184523464325481).

The spelling of 144213133013040 in words is "one hundred forty-four trillion, two hundred thirteen billion, one hundred thirty-three million, thirteen thousand, forty".