424652424256424 has 128 divisors (see below), whose sum is σ = 981089424564480. Its totient is φ = 167802030950400.

The previous prime is 424652424256397. The next prime is 424652424256429.

424652424256424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 424652424256424.

It is not an unprimeable number, because it can be changed into a prime (424652424256429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4520369294 + ... + 4520463234.

It is an arithmetic number, because the mean of its divisors is an integer number (7664761129410).

Almost surely, 2^{424652424256424} 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 424652424256424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490544712282240).

424652424256424 is an abundant number, since it is smaller than the sum of its proper divisors (556437000308056).

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

424652424256424 is a wasteful number, since it uses less digits than its factorization.

424652424256424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101011 (or 101007 counting only the distinct ones).

The product of its digits is 117964800, while the sum is 56.

The spelling of 424652424256424 in words is "four hundred twenty-four trillion, six hundred fifty-two billion, four hundred twenty-four million, two hundred fifty-six thousand, four hundred twenty-four".