430131404100 has 144 divisors (see below), whose sum is σ = 1318083012288. Its totient is φ = 107924828160.

The previous prime is 430131404099. The next prime is 430131404111. The reversal of 430131404100 is 1404131034.

430131404100 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 22976344 + ... + 22995056.

It is an arithmetic number, because the mean of its divisors is an integer number (9153354252).

Almost surely, 2^430131404100 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 430131404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659041506144).

430131404100 is an abundant number, since it is smaller than the sum of its proper divisors (887951608188).

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

430131404100 is a wasteful number, since it uses less digits than its factorization.

430131404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23254 (or 23247 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 430131404100 its reverse (1404131034), we get a palindrome (431535535134).

The spelling of 430131404100 in words is "four hundred thirty billion, one hundred thirty-one million, four hundred four thousand, one hundred".