430412011040 has 192 divisors, whose sum is σ = 1123978125312. Its totient is φ = 154445491200.

The previous prime is 430412011033. The next prime is 430412011063. The reversal of 430412011040 is 40110214034.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 214882679 + ... + 214884681.

It is an arithmetic number, because the mean of its divisors is an integer number (5854052736).

Almost surely, 2^430412011040 is an apocalyptic number.

430412011040 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 430412011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561989062656).

430412011040 is an abundant number, since it is smaller than the sum of its proper divisors (693566114272).

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

430412011040 is a wasteful number, since it uses less digits than its factorization.

430412011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 430412011040 its reverse (40110214034), we get a palindrome (470522225074).

The spelling of 430412011040 in words is "four hundred thirty billion, four hundred twelve million, eleven thousand, forty".