430200021421000 has 192 divisors, whose sum is σ = 1070621366003280. Its totient is φ = 161767694131200.

The previous prime is 430200021420941. The next prime is 430200021421007. The reversal of 430200021421000 is 124120002034.

It can be written as a sum of positive squares in 24 ways, for example, as 46395796610916 + 383804224810084 = 6811446^2 + 19590922^2 .

It is not an unprimeable number, because it can be changed into a prime (430200021421007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245644444 + ... + 247389556.

Almost surely, 2^{430200021421000} is an apocalyptic number.

430200021421000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430200021421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535310683001640).

430200021421000 is an abundant number, since it is smaller than the sum of its proper divisors (640421344582280).

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

430200021421000 is a wasteful number, since it uses less digits than its factorization.

430200021421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746021 (or 1745990 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 430200021421000 its reverse (124120002034), we get a palindrome (430324141423034).

The spelling of 430200021421000 in words is "four hundred thirty trillion, two hundred billion, twenty-one million, four hundred twenty-one thousand".