422041140224 has 88 divisors (see below), whose sum is σ = 921611410176. Its totient is φ = 191577600000.

The previous prime is 422041140223. The next prime is 422041140233.

It is a happy number.

422041140224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (88).

It is a junction number, because it is equal to n+sod(n) for n = 422041140193 and 422041140202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422041140223) 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, 8434319 + ... + 8484209.

Almost surely, 2^422041140224 is an apocalyptic number.

422041140224 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 422041140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460805705088).

422041140224 is an abundant number, since it is smaller than the sum of its proper divisors (499570269952).

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

422041140224 is a wasteful number, since it uses less digits than its factorization.

422041140224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50673 (or 50655 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

It can be divided in two parts, 422041 and 140224, that added together give a palindrome (562265).

The spelling of 422041140224 in words is "four hundred twenty-two billion, forty-one million, one hundred forty thousand, two hundred twenty-four".