430343404112 has 120 divisors (see below), whose sum is σ = 912466364040. Its totient is φ = 196355496960.

The previous prime is 430343404103. The next prime is 430343404121. The reversal of 430343404112 is 211404343034.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (430343404103) and next prime (430343404121).

It can be written as a sum of positive squares in 4 ways, for example, as 264517696 + 430078886416 = 16264^2 + 655804^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77216558 + ... + 77222130.

It is an arithmetic number, because the mean of its divisors is an integer number (7603886367).

Almost surely, 2^430343404112 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 430343404112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456233182020).

430343404112 is an abundant number, since it is smaller than the sum of its proper divisors (482122959928).

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

430343404112 is a wasteful number, since it uses less digits than its factorization.

430343404112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6109 (or 6084 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 430343404112 its reverse (211404343034), we get a palindrome (641747747146).

The spelling of 430343404112 in words is "four hundred thirty billion, three hundred forty-three million, four hundred four thousand, one hundred twelve".