430398123552 has 144 divisors (see below), whose sum is σ = 1230432420672. Its totient is φ = 142706741760.

The previous prime is 430398123499. The next prime is 430398123587. The reversal of 430398123552 is 255321893034.

430398123552 is a `hidden beast` number, since 4 + 3 + 0 + 3 + 98 + 1 + 2 + 3 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 430398123498 and 430398123507.

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 23 ways as a sum of consecutive naturals, for example, 98780958 + ... + 98785314.

It is an arithmetic number, because the mean of its divisors is an integer number (8544669588).

Almost surely, 2^430398123552 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 430398123552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615216210336).

430398123552 is an abundant number, since it is smaller than the sum of its proper divisors (800034297120).

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

430398123552 is a wasteful number, since it uses less digits than its factorization.

430398123552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6111 (or 6100 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 430398123552 in words is "four hundred thirty billion, three hundred ninety-eight million, one hundred twenty-three thousand, five hundred fifty-two".