430414112144 has 40 divisors (see below), whose sum is σ = 874501107960. Its totient is φ = 204939721728.

The previous prime is 430414112143. The next prime is 430414112153. The reversal of 430414112144 is 441211414034.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 139418598544 + 290995513600 = 373388^2 + 539440^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (430414112143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6319667 + ... + 6387410.

It is an arithmetic number, because the mean of its divisors is an integer number (21862527699).

Almost surely, 2^430414112144 is an apocalyptic number.

It is an amenable number.

430414112144 is an abundant number, since it is smaller than the sum of its proper divisors (444086995816).

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

430414112144 is a wasteful number, since it uses less digits than its factorization.

430414112144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12707187 (or 12707181 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 430414112144 its reverse (441211414034), we get a palindrome (871625526178).

The spelling of 430414112144 in words is "four hundred thirty billion, four hundred fourteen million, one hundred twelve thousand, one hundred forty-four".