42431222213424 has 960 divisors, whose sum is σ = 138306207836160. Its totient is φ = 12026050560000.

The previous prime is 42431222213411. The next prime is 42431222213507.

42431222213424 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 1 + 2 + 2 + 221 + 3 + 424 = 666.

42431222213424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 87127766109 + ... + 87127766595.

It is an arithmetic number, because the mean of its divisors is an integer number (144068966496).

Almost surely, 2^{42431222213424} is an apocalyptic number.

42431222213424 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 42431222213424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69153103918080).

42431222213424 is an abundant number, since it is smaller than the sum of its proper divisors (95874985622736).

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

42431222213424 is a wasteful number, since it uses less digits than its factorization.

42431222213424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1041 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 4243122 and 2213424, that added together give a palindrome (6456546).

The spelling of 42431222213424 in words is "forty-two trillion, four hundred thirty-one billion, two hundred twenty-two million, two hundred thirteen thousand, four hundred twenty-four".