422464320000 has 450 divisors, whose sum is σ = 1527576508887. Its totient is φ = 112363008000.

The previous prime is 422464319969. The next prime is 422464320029. The reversal of 422464320000 is 23464224.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

422464320000 is a `hidden beast` number, since 4 + 224 + 6 + 432 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 97673750784 + 324790569216 = 312528^2 + 569904^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=459600.

It is a super-2 number, since 2×422464320000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 1103039809 + ... + 1103040191.

Almost surely, 2^422464320000 is an apocalyptic number.

422464320000 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 422464320000

422464320000 is an abundant number, since it is smaller than the sum of its proper divisors (1105112188887).

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

422464320000 is an frugal number, since it uses more digits than its factorization.

422464320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 422464320000 its reverse (23464224), we get a palindrome (422487784224).

The spelling of 422464320000 in words is "four hundred twenty-two billion, four hundred sixty-four million, three hundred twenty thousand".