422633328480 has 192 divisors, whose sum is σ = 1613691072000. Its totient is φ = 102456552960.

The previous prime is 422633328473. The next prime is 422633328499. The reversal of 422633328480 is 84823336224.

422633328480 is a `hidden beast` number, since 4 + 2 + 2 + 633 + 3 + 2 + 8 + 4 + 8 + 0 = 666.

It is a super-3 number, since 3×422633328480³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 4399380 + ... + 4494419.

It is an arithmetic number, because the mean of its divisors is an integer number (8404641000).

Almost surely, 2^422633328480 is an apocalyptic number.

422633328480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422633328480 is an abundant number, since it is smaller than the sum of its proper divisors (1191057743520).

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

422633328480 is a wasteful number, since it uses less digits than its factorization.

422633328480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8893834 (or 8893820 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 422633328480 in words is "four hundred twenty-two billion, six hundred thirty-three million, three hundred twenty-eight thousand, four hundred eighty".