42202620224 has 56 divisors (see below), whose sum is σ = 88727843880. Its totient is φ = 19847561216.

The previous prime is 42202620217. The next prime is 42202620227.

42202620224 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 313600 + 42202306624 = 560^2 + 205432^2 .

It is a super-2 number, since 2×42202620224² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42202620193 and 42202620202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42202620227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1848044 + ... + 1870740.

Almost surely, 2^42202620224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42202620224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44363921940).

42202620224 is an abundant number, since it is smaller than the sum of its proper divisors (46525223656).

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

42202620224 is a wasteful number, since it uses less digits than its factorization.

42202620224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24435 (or 24425 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The spelling of 42202620224 in words is "forty-two billion, two hundred two million, six hundred twenty thousand, two hundred twenty-four".