144100100401344 has 336 divisors, whose sum is σ = 419556405996000. Its totient is φ = 47279752937472.

The previous prime is 144100100401339. The next prime is 144100100401393. The reversal of 144100100401344 is 443104001001441.

144100100401344 is a `hidden beast` number, since 14 + 4 + 100 + 100 + 401 + 3 + 44 = 666.

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, 18839073232 + ... + 18839080880.

It is an arithmetic number, because the mean of its divisors is an integer number (1248679779750).

Almost surely, 2^{144100100401344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144100100401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209778202998000).

144100100401344 is an abundant number, since it is smaller than the sum of its proper divisors (275456305594656).

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

144100100401344 is a wasteful number, since it uses less digits than its factorization.

144100100401344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9152 (or 9139 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 144100100401344 its reverse (443104001001441), we get a palindrome (587204101402785).

The spelling of 144100100401344 in words is "one hundred forty-four trillion, one hundred billion, one hundred million, four hundred one thousand, three hundred forty-four".