422135775240520 has 256 divisors, whose sum is σ = 1114057359360000. Its totient is φ = 142309468062720.

The previous prime is 422135775240503. The next prime is 422135775240521. The reversal of 422135775240520 is 25042577531224.

It is a super-2 number, since 2×422135775240520² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (422135775240521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2765687566 + ... + 2765840194.

It is an arithmetic number, because the mean of its divisors is an integer number (4351786560000).

Almost surely, 2^{422135775240520} is an apocalyptic number.

422135775240520 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 422135775240520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557028679680000).

422135775240520 is an abundant number, since it is smaller than the sum of its proper divisors (691921584119480).

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

422135775240520 is a wasteful number, since it uses less digits than its factorization.

422135775240520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159756 (or 159752 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 49.

The spelling of 422135775240520 in words is "four hundred twenty-two trillion, one hundred thirty-five billion, seven hundred seventy-five million, two hundred forty thousand, five hundred twenty".