430455040000 has 480 divisors, whose sum is σ = 1130242113000. Its totient is φ = 163676160000.

The previous prime is 430455039997. The next prime is 430455040003. The reversal of 430455040000 is 40554034.

It is an interprime number because it is at equal distance from previous prime (430455039997) and next prime (430455040003).

It can be written as a sum of positive squares in 20 ways, for example, as 292499252224 + 137955787776 = 540832^2 + 371424^2 .

It is a super-2 number, since 2×430455040000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (430455040003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2888959926 + ... + 2888960074.

Almost surely, 2^430455040000 is an apocalyptic number.

430455040000 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 430455040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565121056500).

430455040000 is an abundant number, since it is smaller than the sum of its proper divisors (699787073000).

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

430455040000 is an equidigital number, since it uses as much as digits as its factorization.

430455040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 430455040000 its reverse (40554034), we get a palindrome (430495594034).

The spelling of 430455040000 in words is "four hundred thirty billion, four hundred fifty-five million, forty thousand".