144414442242 has 128 divisors (see below), whose sum is σ = 386726400000. Its totient is φ = 39023202816.

The previous prime is 144414442217. The next prime is 144414442283. The reversal of 144414442242 is 242244414441.

144414442242 is a `hidden beast` number, since 14 + 4 + 414 + 4 + 4 + 224 + 2 = 666.

It is a super-2 number, since 2×144414442242² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144414442197 and 144414442206.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4285234 + ... + 4318802.

It is an arithmetic number, because the mean of its divisors is an integer number (3021300000).

Almost surely, 2^144414442242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144414442242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193363200000).

144414442242 is an abundant number, since it is smaller than the sum of its proper divisors (242311957758).

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

144414442242 is a wasteful number, since it uses less digits than its factorization.

144414442242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34205 (or 34199 counting only the distinct ones).

The product of its digits is 131072, while the sum is 36.

Adding to 144414442242 its reverse (242244414441), we get a palindrome (386658856683).

The spelling of 144414442242 in words is "one hundred forty-four billion, four hundred fourteen million, four hundred forty-two thousand, two hundred forty-two".