422424420221040 has 640 divisors, whose sum is σ = 1487919767040000. Its totient is φ = 98503062847488.

The previous prime is 422424420221039. The next prime is 422424420221107. The reversal of 422424420221040 is 40122024424224.

It is a junction number, because it is equal to n+sod(n) for n = 422424420220992 and 422424420221010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 912256452 + ... + 912719388.

It is an arithmetic number, because the mean of its divisors is an integer number (2324874636000).

Almost surely, 2^{422424420221040} is an apocalyptic number.

422424420221040 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 422424420221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743959883520000).

422424420221040 is an abundant number, since it is smaller than the sum of its proper divisors (1065495346818960).

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

422424420221040 is a wasteful number, since it uses less digits than its factorization.

422424420221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463217 (or 463211 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 33.

Adding to 422424420221040 its reverse (40122024424224), we get a palindrome (462546444645264).

The spelling of 422424420221040 in words is "four hundred twenty-two trillion, four hundred twenty-four billion, four hundred twenty million, two hundred twenty-one thousand, forty".