430430131140400 has 30 divisors (see below), whose sum is σ = 1034108390065772. Its totient is φ = 172172052456000.

The previous prime is 430430131140367. The next prime is 430430131140409. The reversal of 430430131140400 is 4041131034034.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (430430131140409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 538037663526 + ... + 538037664325.

Almost surely, 2^{430430131140400} is an apocalyptic number.

430430131140400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

430430131140400 is an abundant number, since it is smaller than the sum of its proper divisors (603678258925372).

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

430430131140400 is a wasteful number, since it uses less digits than its factorization.

430430131140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076075327869 (or 1076075327858 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 430430131140400 its reverse (4041131034034), we get a palindrome (434471262174434).

The spelling of 430430131140400 in words is "four hundred thirty trillion, four hundred thirty billion, one hundred thirty-one million, one hundred forty thousand, four hundred".