424241101142424 has 192 divisors, whose sum is σ = 1242947435839200. Its totient is φ = 130266081128448.

The previous prime is 424241101142399. The next prime is 424241101142429.

424241101142424 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 4 + 110 + 114 + 2 + 424 = 666.

424241101142424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424241101142429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75908142 + ... + 81305154.

Almost surely, 2^{424241101142424} 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 424241101142424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621473717919600).

424241101142424 is an abundant number, since it is smaller than the sum of its proper divisors (818706334696776).

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

424241101142424 is a wasteful number, since it uses less digits than its factorization.

424241101142424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5398634 (or 5398627 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

It can be divided in two parts, 42424110 and 1142424, that added together give a palindrome (43566534).

The spelling of 424241101142424 in words is "four hundred twenty-four trillion, two hundred forty-one billion, one hundred one million, one hundred forty-two thousand, four hundred twenty-four".