42421122112424 has 256 divisors, whose sum is σ = 93578085216000. Its totient is φ = 17826324480000.

The previous prime is 42421122112399. The next prime is 42421122112427.

42421122112424 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42421122112427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3552554294 + ... + 3552566234.

It is an arithmetic number, because the mean of its divisors is an integer number (365539395375).

Almost surely, 2^{42421122112424} is an apocalyptic number.

42421122112424 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 42421122112424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46789042608000).

42421122112424 is an abundant number, since it is smaller than the sum of its proper divisors (51156963103576).

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

42421122112424 is a wasteful number, since it uses less digits than its factorization.

42421122112424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12380 (or 12376 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

It can be divided in two parts, 4242112 and 2112424, that added together give a palindrome (6354536).

The spelling of 42421122112424 in words is "forty-two trillion, four hundred twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, four hundred twenty-four".