430144041300 has 144 divisors (see below), whose sum is σ = 1257402854400. Its totient is φ = 113525193600.

The previous prime is 430144041287. The next prime is 430144041329. The reversal of 430144041300 is 3140441034.

It is a super-2 number, since 2×430144041300² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14880261 + ... + 14909139.

Almost surely, 2^430144041300 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 430144041300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628701427200).

430144041300 is an abundant number, since it is smaller than the sum of its proper divisors (827258813100).

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

430144041300 is a wasteful number, since it uses less digits than its factorization.

430144041300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29406 (or 29399 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 430144041300 its reverse (3140441034), we get a palindrome (433284482334).

The spelling of 430144041300 in words is "four hundred thirty billion, one hundred forty-four million, forty-one thousand, three hundred".