422466664224 has 192 divisors, whose sum is σ = 1263553966080. Its totient is φ = 122448337920.

The previous prime is 422466664211. The next prime is 422466664237.

422466664224 is nontrivially palindromic in base 10.

422466664224 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (422466664211) and next prime (422466664237).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2213617 + ... + 2396879.

It is an arithmetic number, because the mean of its divisors is an integer number (6581010240).

Almost surely, 2^422466664224 is an apocalyptic number.

422466664224 is a gapful number since it is divisible by the number (44) 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 422466664224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631776983040).

422466664224 is an abundant number, since it is smaller than the sum of its proper divisors (841087301856).

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

422466664224 is a wasteful number, since it uses less digits than its factorization.

422466664224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183383 (or 183375 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 48.

The spelling of 422466664224 in words is "four hundred twenty-two billion, four hundred sixty-six million, six hundred sixty-four thousand, two hundred twenty-four".