424241134123144 has 192 divisors, whose sum is σ = 893983430880000. Its totient is φ = 188429750885376.

The previous prime is 424241134123139. The next prime is 424241134123201. The reversal of 424241134123144 is 441321431142424.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 424241134123097 and 424241134123106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32838536317 + ... + 32838549235.

It is an arithmetic number, because the mean of its divisors is an integer number (4656163702500).

Almost surely, 2^{424241134123144} 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 424241134123144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446991715440000).

424241134123144 is an abundant number, since it is smaller than the sum of its proper divisors (469742296756856).

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

424241134123144 is a wasteful number, since it uses less digits than its factorization.

424241134123144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15672 (or 15655 counting only the distinct ones).

The product of its digits is 294912, while the sum is 40.

Adding to 424241134123144 its reverse (441321431142424), we get a palindrome (865562565265568).

The spelling of 424241134123144 in words is "four hundred twenty-four trillion, two hundred forty-one billion, one hundred thirty-four million, one hundred twenty-three thousand, one hundred forty-four".