422012004480 has 512 divisors, whose sum is σ = 1636510521600. Its totient is φ = 101928960000.

The previous prime is 422012004439. The next prime is 422012004551. The reversal of 422012004480 is 84400210224.

422012004480 is a `hidden beast` number, since 42 + 20 + 120 + 0 + 4 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53408530 + ... + 53416430.

Almost surely, 2^422012004480 is an apocalyptic number.

422012004480 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 422012004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818255260800).

422012004480 is an abundant number, since it is smaller than the sum of its proper divisors (1214498517120).

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

422012004480 is a wasteful number, since it uses less digits than its factorization.

422012004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8221 (or 8203 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The spelling of 422012004480 in words is "four hundred twenty-two billion, twelve million, four thousand, four hundred eighty".