144404113013000 has 128 divisors (see below), whose sum is σ = 357986596986720. Its totient is φ = 54332878233600.

The previous prime is 144404113012987. The next prime is 144404113013047. The reversal of 144404113013000 is 310311404441.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 32516841141316 + 111887271871684 = 5702354^2 + 10577678^2 .

It is a super-4 number, since 4×144404113013000⁴ (a number of 58 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27378194 + ... + 32223806.

Almost surely, 2^{144404113013000} is an apocalyptic number.

144404113013000 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 144404113013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178993298493360).

144404113013000 is an abundant number, since it is smaller than the sum of its proper divisors (213582483973720).

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

144404113013000 is a wasteful number, since it uses less digits than its factorization.

144404113013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4847404 (or 4847390 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 144404113013000 its reverse (310311404441), we get a palindrome (144714424417441).

The spelling of 144404113013000 in words is "one hundred forty-four trillion, four hundred four billion, one hundred thirteen million, thirteen thousand".