424110343011424 has 96 divisors (see below), whose sum is σ = 856660345301376. Its totient is φ = 206589512663040.

The previous prime is 424110343011409. The next prime is 424110343011469.

424110343011424 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 424110343011424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291551304 + ... + 293002360.

It is an arithmetic number, because the mean of its divisors is an integer number (8923545263556).

Almost surely, 2^{424110343011424} 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 424110343011424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428330172650688).

424110343011424 is an abundant number, since it is smaller than the sum of its proper divisors (432550002289952).

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

424110343011424 is a wasteful number, since it uses less digits than its factorization.

424110343011424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452008 (or 1452000 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 424110343011424 in words is "four hundred twenty-four trillion, one hundred ten billion, three hundred forty-three million, eleven thousand, four hundred twenty-four".