422801786854080 has 896 divisors, whose sum is σ = 1562669805312000. Its totient is φ = 107411274989568.

The previous prime is 422801786853869. The next prime is 422801786854087. The reversal of 422801786854080 is 80458687108224.

422801786854080 is a `hidden beast` number, since 4 + 2 + 2 + 8 + 0 + 1 + 7 + 8 + 6 + 8 + 540 + 80 = 666.

It is a super-2 number, since 2×422801786854080² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 422801786853999 and 422801786854017.

It is not an unprimeable number, because it can be changed into a prime (422801786854087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 138669000396 + ... + 138669003444.

It is an arithmetic number, because the mean of its divisors is an integer number (1744051122000).

Almost surely, 2^{422801786854080} is an apocalyptic number.

422801786854080 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 422801786854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781334902656000).

422801786854080 is an abundant number, since it is smaller than the sum of its proper divisors (1139868018457920).

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

422801786854080 is a wasteful number, since it uses less digits than its factorization.

422801786854080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5678 (or 5662 counting only the distinct ones).

The product of its (nonzero) digits is 55050240, while the sum is 63.

The spelling of 422801786854080 in words is "four hundred twenty-two trillion, eight hundred one billion, seven hundred eighty-six million, eight hundred fifty-four thousand, eighty".