430340778820 has 96 divisors (see below), whose sum is σ = 983757035520. Its totient is φ = 157468354560.

The previous prime is 430340778811. The next prime is 430340778839. The reversal of 430340778820 is 28877043034.

It is a happy number.

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, 12449521 + ... + 12484039.

It is an arithmetic number, because the mean of its divisors is an integer number (10247469120).

Almost surely, 2^430340778820 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 430340778820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491878517760).

430340778820 is an abundant number, since it is smaller than the sum of its proper divisors (553416256700).

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

430340778820 is a wasteful number, since it uses less digits than its factorization.

430340778820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35573 (or 35571 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 46.

The spelling of 430340778820 in words is "four hundred thirty billion, three hundred forty million, seven hundred seventy-eight thousand, eight hundred twenty".