422681071680 has 1008 divisors, whose sum is σ = 1779679309824. Its totient is φ = 91681873920.

The previous prime is 422681071669. The next prime is 422681071693. The reversal of 422681071680 is 86170186224.

422681071680 is a `hidden beast` number, since 422 + 6 + 81 + 0 + 71 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 231859249 + ... + 231861071.

Almost surely, 2^422681071680 is an apocalyptic number.

422681071680 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 422681071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889839654912).

422681071680 is an abundant number, since it is smaller than the sum of its proper divisors (1356998238144).

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

422681071680 is a wasteful number, since it uses less digits than its factorization.

422681071680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 422681071680 in words is "four hundred twenty-two billion, six hundred eighty-one million, seventy-one thousand, six hundred eighty".