42262026224 has 120 divisors (see below), whose sum is σ = 91348528320. Its totient is φ = 18924871680.

The previous prime is 42262026167. The next prime is 42262026227.

42262026224 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42262026227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58778537 + ... + 58779255.

It is an arithmetic number, because the mean of its divisors is an integer number (761237736).

Almost surely, 2^42262026224 is an apocalyptic number.

42262026224 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 42262026224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45674264160).

42262026224 is an abundant number, since it is smaller than the sum of its proper divisors (49086502096).

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

42262026224 is a wasteful number, since it uses less digits than its factorization.

42262026224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 422620 and 26224, that added together give a palindrome (448844).

The spelling of 42262026224 in words is "forty-two billion, two hundred sixty-two million, twenty-six thousand, two hundred twenty-four".