422087707780224 has 256 divisors, whose sum is σ = 1160843072716800. Its totient is φ = 135779837276160.

The previous prime is 422087707780199. The next prime is 422087707780243.

422087707780224 is nontrivially palindromic in base 10.

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, 7381837267 + ... + 7381894445.

It is an arithmetic number, because the mean of its divisors is an integer number (4534543252800).

Almost surely, 2^{422087707780224} 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 422087707780224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580421536358400).

422087707780224 is an abundant number, since it is smaller than the sum of its proper divisors (738755364936576).

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

422087707780224 is a wasteful number, since it uses less digits than its factorization.

422087707780224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61451 (or 61439 counting only the distinct ones).

The product of its (nonzero) digits is 39337984, while the sum is 60.

It can be divided in two parts, 42208770 and 7780224, that added together give a palindrome (49988994).

The spelling of 422087707780224 in words is "four hundred twenty-two trillion, eighty-seven billion, seven hundred seven million, seven hundred eighty thousand, two hundred twenty-four".