420431102322 has 128 divisors (see below), whose sum is σ = 1106631936000. Its totient is φ = 105437102400.

The previous prime is 420431102303. The next prime is 420431102339. The reversal of 420431102322 is 223201134024.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 420431102292 and 420431102301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 336297 + ... + 976707.

It is an arithmetic number, because the mean of its divisors is an integer number (8645562000).

Almost surely, 2^420431102322 is an apocalyptic number.

420431102322 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 420431102322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553315968000).

420431102322 is an abundant number, since it is smaller than the sum of its proper divisors (686200833678).

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

420431102322 is a wasteful number, since it uses less digits than its factorization.

420431102322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640477 (or 640463 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 420431102322 its reverse (223201134024), we get a palindrome (643632236346).

It can be divided in two parts, 420431 and 102322, that added together give a triangular number (522753 = T₁₀₂₂).

The spelling of 420431102322 in words is "four hundred twenty billion, four hundred thirty-one million, one hundred two thousand, three hundred twenty-two".