42214444441224 has 64 divisors (see below), whose sum is σ = 115204152960000. Its totient is φ = 12784050342720.

The previous prime is 42214444441223. The next prime is 42214444441231.

42214444441224 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 (42214444441223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50872324 + ... + 51695475.

It is an arithmetic number, because the mean of its divisors is an integer number (1800064890000).

Almost surely, 2^{42214444441224} is an apocalyptic number.

42214444441224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42214444441224 is an abundant number, since it is smaller than the sum of its proper divisors (72989708518776).

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

42214444441224 is a wasteful number, since it uses less digits than its factorization.

42214444441224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102569378 (or 102569374 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 42.

It can be divided in two parts, 4221444 and 4441224, that added together give a palindrome (8662668).

The spelling of 42214444441224 in words is "forty-two trillion, two hundred fourteen billion, four hundred forty-four million, four hundred forty-one thousand, two hundred twenty-four".