430217424140 has 96 divisors (see below), whose sum is σ = 1051414898688. Its totient is φ = 144821376000.

The previous prime is 430217424127. The next prime is 430217424149. The reversal of 430217424140 is 41424712034.

It is a junction number, because it is equal to n+sod(n) for n = 430217424097 and 430217424106.

It is not an unprimeable number, because it can be changed into a prime (430217424149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2305745 + ... + 2485335.

It is an arithmetic number, because the mean of its divisors is an integer number (10952238528).

Almost surely, 2^430217424140 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 430217424140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525707449344).

430217424140 is an abundant number, since it is smaller than the sum of its proper divisors (621197474548).

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

430217424140 is a wasteful number, since it uses less digits than its factorization.

430217424140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179919 (or 179917 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The spelling of 430217424140 in words is "four hundred thirty billion, two hundred seventeen million, four hundred twenty-four thousand, one hundred forty".