430013001220 has 96 divisors (see below), whose sum is σ = 992740396032. Its totient is φ = 155161200000.

The previous prime is 430013001203. The next prime is 430013001241. The reversal of 430013001220 is 22100310034.

It is a happy number.

It is a super-2 number, since 2×430013001220² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 430013001194 and 430013001203.

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 31 ways as a sum of consecutive naturals, for example, 32249955 + ... + 32263285.

It is an arithmetic number, because the mean of its divisors is an integer number (10341045792).

Almost surely, 2^430013001220 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 430013001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496370198016).

430013001220 is an abundant number, since it is smaller than the sum of its proper divisors (562727394812).

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

430013001220 is a wasteful number, since it uses less digits than its factorization.

430013001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14473 (or 14471 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 430013001220 its reverse (22100310034), we get a palindrome (452113311254).

The spelling of 430013001220 in words is "four hundred thirty billion, thirteen million, one thousand, two hundred twenty".