430344014244144 has 320 divisors, whose sum is σ = 1504056142245888. Its totient is φ = 102391753651200.

The previous prime is 430344014244059. The next prime is 430344014244217. The reversal of 430344014244144 is 441442410443034.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 430344014244096 and 430344014244105.

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, 27890994 + ... + 40479569.

Almost surely, 2^{430344014244144} is an apocalyptic number.

430344014244144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

430344014244144 is an abundant number, since it is smaller than the sum of its proper divisors (1073712128001744).

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

430344014244144 is a wasteful number, since it uses less digits than its factorization.

430344014244144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68370736 (or 68370730 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 42.

Adding to 430344014244144 its reverse (441442410443034), we get a palindrome (871786424687178).

The spelling of 430344014244144 in words is "four hundred thirty trillion, three hundred forty-four billion, fourteen million, two hundred forty-four thousand, one hundred forty-four".