430420101342240 has 192 divisors, whose sum is σ = 1436171648131584. Its totient is φ = 107982306213888.

The previous prime is 430420101342191. The next prime is 430420101342307. The reversal of 430420101342240 is 42243101024034.

It is a super-2 number, since 2×430420101342240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 430420101342198 and 430420101342207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8810937 + ... + 30634503.

It is an arithmetic number, because the mean of its divisors is an integer number (7480060667352).

Almost surely, 2^{430420101342240} is an apocalyptic number.

430420101342240 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 430420101342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718085824065792).

430420101342240 is an abundant number, since it is smaller than the sum of its proper divisors (1005751546789344).

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

430420101342240 is a wasteful number, since it uses less digits than its factorization.

430420101342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21826019 (or 21826011 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 430420101342240 its reverse (42243101024034), we get a palindrome (472663202366274).

The spelling of 430420101342240 in words is "four hundred thirty trillion, four hundred twenty billion, one hundred one million, three hundred forty-two thousand, two hundred forty".