430140221000 has 256 divisors, whose sum is σ = 1249932902400. Its totient is φ = 135206496000.

The previous prime is 430140220987. The next prime is 430140221141. The reversal of 430140221000 is 122041034.

It is a self number, because there is not a number n which added to its sum of digits gives 430140221000.

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 63 ways as a sum of consecutive naturals, for example, 4070837 + ... + 4175163.

It is an arithmetic number, because the mean of its divisors is an integer number (4882550400).

Almost surely, 2^430140221000 is an apocalyptic number.

430140221000 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 430140221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624966451200).

430140221000 is an abundant number, since it is smaller than the sum of its proper divisors (819792681400).

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

430140221000 is a wasteful number, since it uses less digits than its factorization.

430140221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104405 (or 104391 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 430140221000 its reverse (122041034), we get a palindrome (430262262034).

The spelling of 430140221000 in words is "four hundred thirty billion, one hundred forty million, two hundred twenty-one thousand".