42202233220224 has 768 divisors, whose sum is σ = 149930259897600. Its totient is φ = 10259575603200.

The previous prime is 42202233220187. The next prime is 42202233220243.

It is a happy number.

42202233220224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42202233220224² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42202233220191 and 42202233220200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1000767012 + ... + 1000809180.

It is an arithmetic number, because the mean of its divisors is an integer number (195221692575).

Almost surely, 2^{42202233220224} is an apocalyptic number.

42202233220224 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 42202233220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74965129948800).

42202233220224 is an abundant number, since it is smaller than the sum of its proper divisors (107728026677376).

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

42202233220224 is a wasteful number, since it uses less digits than its factorization.

42202233220224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42413 (or 42390 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 4220223 and 3220224, that added together give a palindrome (7440447).

The spelling of 42202233220224 in words is "forty-two trillion, two hundred two billion, two hundred thirty-three million, two hundred twenty thousand, two hundred twenty-four".