430105002040 has 128 divisors (see below), whose sum is σ = 1156488192000. Its totient is φ = 140757585408.

The previous prime is 430105001969. The next prime is 430105002059. The reversal of 430105002040 is 40200501034.

It is a junction number, because it is equal to n+sod(n) for n = 430105001999 and 430105002017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3015046 + ... + 3154474.

It is an arithmetic number, because the mean of its divisors is an integer number (9035064000).

Almost surely, 2^430105002040 is an apocalyptic number.

430105002040 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 430105002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578244096000).

430105002040 is an abundant number, since it is smaller than the sum of its proper divisors (726383189960).

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

430105002040 is a wasteful number, since it uses less digits than its factorization.

430105002040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139949 (or 139945 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 430105002040 its reverse (40200501034), we get a palindrome (470305503074).

The spelling of 430105002040 in words is "four hundred thirty billion, one hundred five million, two thousand, forty".