42234244243224 has 64 divisors (see below), whose sum is σ = 115185014202240. Its totient is φ = 12798176751360.

The previous prime is 42234244243201. The next prime is 42234244243333.

42234244243224 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×42234244243224³ (a number of 42 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53436507 + ... + 54221109.

It is an arithmetic number, because the mean of its divisors is an integer number (1799765846910).

Almost surely, 2^{42234244243224} is an apocalyptic number.

42234244243224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42234244243224 is an abundant number, since it is smaller than the sum of its proper divisors (72950769959016).

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

42234244243224 is a wasteful number, since it uses less digits than its factorization.

42234244243224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988520 (or 988516 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 42.

It can be divided in two parts, 4223424 and 4243224, that added together give a palindrome (8466648).

The spelling of 42234244243224 in words is "forty-two trillion, two hundred thirty-four billion, two hundred forty-four million, two hundred forty-three thousand, two hundred twenty-four".