424261079424 has 1920 divisors, whose sum is σ = 1747124870400. Its totient is φ = 101395058688.

The previous prime is 424261079423. The next prime is 424261079441. The reversal of 424261079424 is 424970162424.

424261079424 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 610 + 7 + 9 + 4 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 424261079424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424261079423) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 18446133877 + ... + 18446133899.

It is an arithmetic number, because the mean of its divisors is an integer number (909960870).

Almost surely, 2^424261079424 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 424261079424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873562435200).

424261079424 is an abundant number, since it is smaller than the sum of its proper divisors (1322863790976).

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

424261079424 is an equidigital number, since it uses as much as digits as its factorization.

424261079424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 424261079424 in words is "four hundred twenty-four billion, two hundred sixty-one million, seventy-nine thousand, four hundred twenty-four".