422011441120 has 192 divisors, whose sum is σ = 1063527252480. Its totient is φ = 157791172608.

The previous prime is 422011441069. The next prime is 422011441129. The reversal of 422011441120 is 21144110224.

It is a junction number, because it is equal to n+sod(n) for n = 422011441091 and 422011441100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422011441129) 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 31 ways as a sum of consecutive naturals, for example, 85546174 + ... + 85551106.

It is an arithmetic number, because the mean of its divisors is an integer number (5539204440).

Almost surely, 2^422011441120 is an apocalyptic number.

422011441120 is a gapful number since it is divisible by the number (40) 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 422011441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531763626240).

422011441120 is an abundant number, since it is smaller than the sum of its proper divisors (641515811360).

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

422011441120 is a wasteful number, since it uses less digits than its factorization.

422011441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5337 (or 5329 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 422011441120 its reverse (21144110224), we get a palindrome (443155551344).

The spelling of 422011441120 in words is "four hundred twenty-two billion, eleven million, four hundred forty-one thousand, one hundred twenty".