430431441440 has 1152 divisors, whose sum is σ = 1447312043520. Its totient is φ = 117596160000.

The previous prime is 430431441383. The next prime is 430431441449. The reversal of 430431441440 is 44144134034.

It is a super-2 number, since 2×430431441440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 430431441397 and 430431441406.

It is not an unprimeable number, because it can be changed into a prime (430431441449) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 4261697390 + ... + 4261697490.

It is an arithmetic number, because the mean of its divisors is an integer number (1256347260).

Almost surely, 2^430431441440 is an apocalyptic number.

430431441440 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 430431441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723656021760).

430431441440 is an abundant number, since it is smaller than the sum of its proper divisors (1016880602080).

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

430431441440 is a wasteful number, since it uses less digits than its factorization.

430431441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 430431441440 its reverse (44144134034), we get a palindrome (474575575474).

The spelling of 430431441440 in words is "four hundred thirty billion, four hundred thirty-one million, four hundred forty-one thousand, four hundred forty".