424220101022424 has 128 divisors (see below), whose sum is σ = 1237811465203200. Its totient is φ = 118657307366400.

The previous prime is 424220101022369. The next prime is 424220101022569.

424220101022424 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×424220101022424³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 424220101022391 and 424220101022400.

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 31 ways as a sum of consecutive naturals, for example, 138945942 + ... + 141966245.

It is an arithmetic number, because the mean of its divisors is an integer number (9670402071900).

Almost surely, 2^{424220101022424} is an apocalyptic number.

It is an amenable number.

424220101022424 is an abundant number, since it is smaller than the sum of its proper divisors (813591364180776).

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

424220101022424 is a wasteful number, since it uses less digits than its factorization.

424220101022424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280912393 (or 280912389 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 42422010 and 1022424, that added together give a palindrome (43444434).

The spelling of 424220101022424 in words is "four hundred twenty-four trillion, two hundred twenty billion, one hundred one million, twenty-two thousand, four hundred twenty-four".