424025520424 has 192 divisors, whose sum is σ = 953436355200. Its totient is φ = 175938048000.

The previous prime is 424025520421. The next prime is 424025520431.

It is a happy number.

424025520424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×424025520424² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 424025520424.

It is not an unprimeable number, because it can be changed into a prime (424025520421) 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, 120768829 + ... + 120772339.

It is an arithmetic number, because the mean of its divisors is an integer number (4965814350).

Almost surely, 2^424025520424 is an apocalyptic number.

424025520424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424025520424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476718177600).

424025520424 is an abundant number, since it is smaller than the sum of its proper divisors (529410834776).

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

424025520424 is a wasteful number, since it uses less digits than its factorization.

424025520424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 34.

It can be divided in two parts, 424025 and 520424, that added together give a palindrome (944449).

The spelling of 424025520424 in words is "four hundred twenty-four billion, twenty-five million, five hundred twenty thousand, four hundred twenty-four".