144034001201140 has 96 divisors (see below), whose sum is σ = 311447767841280. Its totient is φ = 55918928102400.

The previous prime is 144034001201047. The next prime is 144034001201141. The reversal of 144034001201140 is 41102100430441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144034001201141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151301766 + ... + 152250754.

It is an arithmetic number, because the mean of its divisors is an integer number (3244247581680).

Almost surely, 2^{144034001201140} is an apocalyptic number.

144034001201140 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 144034001201140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155723883920640).

144034001201140 is an abundant number, since it is smaller than the sum of its proper divisors (167413766640140).

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

144034001201140 is a wasteful number, since it uses less digits than its factorization.

144034001201140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949993 (or 949991 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 144034001201140 its reverse (41102100430441), we get a palindrome (185136101631581).

The spelling of 144034001201140 in words is "one hundred forty-four trillion, thirty-four billion, one million, two hundred one thousand, one hundred forty".