430201224040 has 128 divisors (see below), whose sum is σ = 1150254950400. Its totient is φ = 141697290240.

The previous prime is 430201224017. The next prime is 430201224041. The reversal of 430201224040 is 40422102034.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (430201224041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1008276 + ... + 1370044.

It is an arithmetic number, because the mean of its divisors is an integer number (8986366800).

Almost surely, 2^430201224040 is an apocalyptic number.

430201224040 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 430201224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575127475200).

430201224040 is an abundant number, since it is smaller than the sum of its proper divisors (720053726360).

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

430201224040 is a wasteful number, since it uses less digits than its factorization.

430201224040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361955 (or 361951 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 430201224040 its reverse (40422102034), we get a palindrome (470623326074).

The spelling of 430201224040 in words is "four hundred thirty billion, two hundred one million, two hundred twenty-four thousand, forty".