430420340400 has 120 divisors (see below), whose sum is σ = 1394272077840. Its totient is φ = 113489080320.

The previous prime is 430420340293. The next prime is 430420340407. The reversal of 430420340400 is 4043024034.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (430420340407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1908277 + ... + 2121876.

It is an arithmetic number, because the mean of its divisors is an integer number (11618933982).

Almost surely, 2^430420340400 is an apocalyptic number.

430420340400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

430420340400 is an abundant number, since it is smaller than the sum of its proper divisors (963851737440).

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

430420340400 is a wasteful number, since it uses less digits than its factorization.

430420340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4030263 (or 4030252 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 430420340400 its reverse (4043024034), we get a palindrome (434463364434).

The spelling of 430420340400 in words is "four hundred thirty billion, four hundred twenty million, three hundred forty thousand, four hundred".