430105652144 has 80 divisors (see below), whose sum is σ = 963709532928. Its totient is φ = 182146288896.

The previous prime is 430105652111. The next prime is 430105652159. The reversal of 430105652144 is 441256501034.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4712447 + ... + 4802849.

Almost surely, 2^430105652144 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 430105652144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481854766464).

430105652144 is an abundant number, since it is smaller than the sum of its proper divisors (533603880784).

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

430105652144 is a wasteful number, since it uses less digits than its factorization.

430105652144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90922 (or 90916 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 430105652144 in words is "four hundred thirty billion, one hundred five million, six hundred fifty-two thousand, one hundred forty-four".