430022431132240 has 40 divisors (see below), whose sum is σ = 1018666343946888. Its totient is φ = 168763520140800.

The previous prime is 430022431132207. The next prime is 430022431132241. The reversal of 430022431132240 is 42231134220034.

It can be written as a sum of positive squares in 4 ways, for example, as 191100985349184 + 238921445783056 = 13823928^2 + 15457084^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430022431132241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50710188111 + ... + 50710196590.

Almost surely, 2^{430022431132240} is an apocalyptic number.

430022431132240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

430022431132240 is an abundant number, since it is smaller than the sum of its proper divisors (588643912814648).

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

430022431132240 is a wasteful number, since it uses less digits than its factorization.

430022431132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101420384767 (or 101420384761 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 430022431132240 its reverse (42231134220034), we get a palindrome (472253565352274).

The spelling of 430022431132240 in words is "four hundred thirty trillion, twenty-two billion, four hundred thirty-one million, one hundred thirty-two thousand, two hundred forty".