144441200031000 has 64 divisors (see below), whose sum is σ = 450656544106080. Its totient is φ = 38517653340800.

The previous prime is 144441200030971. The next prime is 144441200031061. The reversal of 144441200031000 is 130002144441.

It is a super-4 number, since 4×144441200031000⁴ (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 24073530339 + ... + 24073536338.

Almost surely, 2^{144441200031000} is an apocalyptic number.

144441200031000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144441200031000 is an abundant number, since it is smaller than the sum of its proper divisors (306215344075080).

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

144441200031000 is a wasteful number, since it uses less digits than its factorization.

144441200031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48147066701 (or 48147066687 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 144441200031000 its reverse (130002144441), we get a palindrome (144571202175441).

The spelling of 144441200031000 in words is "one hundred forty-four trillion, four hundred forty-one billion, two hundred million, thirty-one thousand".