422630010000 has 675 divisors, whose sum is σ = 1632864966733. Its totient is φ = 101935680000.

The previous prime is 422630009981. The next prime is 422630010001. The reversal of 422630010000 is 10036224.

It is a happy number.

The square root of 422630010000 is 650100.

It is a perfect power (a square), and thus also a powerful number.

422630010000 is a `hidden beast` number, since 4 + 22 + 630 + 0 + 10 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 72298605456 + 350331404544 = 268884^2 + 591888^2 .

It is a super-2 number, since 2×422630010000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (422630010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2145329902 + ... + 2145330098.

Almost surely, 2^422630010000 is an apocalyptic number.

422630010000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

422630010000 is the 650100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422630010000

422630010000 is an abundant number, since it is smaller than the sum of its proper divisors (1210234956733).

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

422630010000 is a wasteful number, since it uses less digits than its factorization.

422630010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 422630010000 its reverse (10036224), we get a palindrome (422640046224).

The spelling of 422630010000 in words is "four hundred twenty-two billion, six hundred thirty million, ten thousand".