422503500960 has 288 divisors, whose sum is σ = 1497734718480. Its totient is φ = 108328550400.

The previous prime is 422503500949. The next prime is 422503500967. The reversal of 422503500960 is 69005305224.

422503500960 is a `hidden beast` number, since 42 + 2 + 50 + 3 + 500 + 9 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 111152892816 + 311350608144 = 333396^2 + 557988^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (422503500967) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10043170 + ... + 10085150.

Almost surely, 2^422503500960 is an apocalyptic number.

422503500960 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 422503500960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748867359240).

422503500960 is an abundant number, since it is smaller than the sum of its proper divisors (1075231217520).

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

422503500960 is a wasteful number, since it uses less digits than its factorization.

422503500960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42272 (or 42261 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 422503500960 in words is "four hundred twenty-two billion, five hundred three million, five hundred thousand, nine hundred sixty".