42230344303224 has 288 divisors, whose sum is σ = 145098798455520. Its totient is φ = 10860315840000.

The previous prime is 42230344303207. The next prime is 42230344303229.

42230344303224 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 0 + 344 + 303 + 2 + 2 + 4 = 666.

42230344303224 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (42230344303229) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2731254 + ... + 9587514.

It is an arithmetic number, because the mean of its divisors is an integer number (503815272415).

Almost surely, 2^{42230344303224} is an apocalyptic number.

42230344303224 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 42230344303224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72549399227760).

42230344303224 is an abundant number, since it is smaller than the sum of its proper divisors (102868454152296).

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

42230344303224 is a wasteful number, since it uses less digits than its factorization.

42230344303224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6856403 (or 6856385 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 4223034 and 4303224, that added together give a palindrome (8526258).

The spelling of 42230344303224 in words is "forty-two trillion, two hundred thirty billion, three hundred forty-four million, three hundred three thousand, two hundred twenty-four".