144042131001120 has 288 divisors, whose sum is σ = 498850280510400. Its totient is φ = 34910952806400.

The previous prime is 144042131001101. The next prime is 144042131001151. The reversal of 144042131001120 is 21100131240441.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244280406 + ... + 244869354.

It is an arithmetic number, because the mean of its divisors is an integer number (1732119029550).

Almost surely, 2^{144042131001120} is an apocalyptic number.

144042131001120 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 144042131001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249425140255200).

144042131001120 is an abundant number, since it is smaller than the sum of its proper divisors (354808149509280).

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

144042131001120 is a wasteful number, since it uses less digits than its factorization.

144042131001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593200 (or 593181 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 144042131001120 its reverse (21100131240441), we get a palindrome (165142262241561).

The spelling of 144042131001120 in words is "one hundred forty-four trillion, forty-two billion, one hundred thirty-one million, one thousand, one hundred twenty".