422173265567040 has 2016 divisors, whose sum is σ = 1733909671802880. Its totient is φ = 93799191822336.

The previous prime is 422173265567033. The next prime is 422173265567087. The reversal of 422173265567040 is 40765562371224.

422173265567040 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 7 + 32 + 6 + 5 + 567 + 0 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 55939212547 + ... + 55939220093.

Almost surely, 2^{422173265567040} is an apocalyptic number.

422173265567040 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 422173265567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866954835901440).

422173265567040 is an abundant number, since it is smaller than the sum of its proper divisors (1311736406235840).

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

422173265567040 is a wasteful number, since it uses less digits than its factorization.

422173265567040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7901 (or 7875 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 422173265567040 in words is "four hundred twenty-two trillion, one hundred seventy-three billion, two hundred sixty-five million, five hundred sixty-seven thousand, forty".