422425414944 has 432 divisors, whose sum is σ = 1391346952632. Its totient is φ = 120792342528.

The previous prime is 422425414907. The next prime is 422425414967. The reversal of 422425414944 is 449414524224.

422425414944 is a `hidden beast` number, since 4 + 2 + 24 + 2 + 541 + 49 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 401464166544 + 20961248400 = 633612^2 + 144780^2 .

It is a super-2 number, since 2×422425414944² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 422425414944.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71631004 + ... + 71636900.

Almost surely, 2^422425414944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422425414944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695673476316).

422425414944 is an abundant number, since it is smaller than the sum of its proper divisors (968921537688).

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

422425414944 is a wasteful number, since it uses less digits than its factorization.

422425414944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6017 (or 5987 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

The spelling of 422425414944 in words is "four hundred twenty-two billion, four hundred twenty-five million, four hundred fourteen thousand, nine hundred forty-four".