430028144640 has 600 divisors, whose sum is σ = 1553887159440. Its totient is φ = 113769971712.

The previous prime is 430028144629. The next prime is 430028144657. The reversal of 430028144640 is 46441820034.

430028144640 is a `hidden beast` number, since 4 + 3 + 0 + 0 + 2 + 8 + 1 + 4 + 4 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 430028144595 and 430028144604.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1519533939 + ... + 1519534221.

Almost surely, 2^430028144640 is an apocalyptic number.

430028144640 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 430028144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776943579720).

430028144640 is an abundant number, since it is smaller than the sum of its proper divisors (1123859014800).

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

430028144640 is an equidigital number, since it uses as much as digits as its factorization.

430028144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 430028144640 its reverse (46441820034), we get a palindrome (476469964674).

The spelling of 430028144640 in words is "four hundred thirty billion, twenty-eight million, one hundred forty-four thousand, six hundred forty".