430420911123840 has 1024 divisors, whose sum is σ = 1694177372160000. Its totient is φ = 90513257103360.

The previous prime is 430420911123839. The next prime is 430420911123851. The reversal of 430420911123840 is 48321119024034.

It is a super-3 number, since 3×430420911123840³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 430420911123792 and 430420911123801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76984599445 + ... + 76984605035.

It is an arithmetic number, because the mean of its divisors is an integer number (1654470090000).

Almost surely, 2^{430420911123840} is an apocalyptic number.

430420911123840 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 430420911123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847088686080000).

430420911123840 is an abundant number, since it is smaller than the sum of its proper divisors (1263756461036160).

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

430420911123840 is a wasteful number, since it uses less digits than its factorization.

430420911123840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7015 (or 7003 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 430420911123840 in words is "four hundred thirty trillion, four hundred twenty billion, nine hundred eleven million, one hundred twenty-three thousand, eight hundred forty".