430401022000 has 80 divisors (see below), whose sum is σ = 1060345963872. Its totient is φ = 168912057600.

The previous prime is 430401021989. The next prime is 430401022001. The reversal of 430401022000 is 220104034.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (430401022001) 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 15 ways as a sum of consecutive naturals, for example, 1924194 + ... + 2136193.

Almost surely, 2^430401022000 is an apocalyptic number.

430401022000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

430401022000 is an abundant number, since it is smaller than the sum of its proper divisors (629944941872).

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

430401022000 is a wasteful number, since it uses less digits than its factorization.

430401022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060463 (or 4060447 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 430401022000 its reverse (220104034), we get a palindrome (430621126034).

The spelling of 430401022000 in words is "four hundred thirty billion, four hundred one million, twenty-two thousand".