431014041200 has 60 divisors (see below), whose sum is σ = 1055049233688. Its totient is φ = 169152672000.

The previous prime is 431014041191. The next prime is 431014041259. The reversal of 431014041200 is 2140410134.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10144226 + ... + 10186625.

Almost surely, 2^431014041200 is an apocalyptic number.

431014041200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431014041200 is an abundant number, since it is smaller than the sum of its proper divisors (624035192488).

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

431014041200 is a wasteful number, since it uses less digits than its factorization.

431014041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20330922 (or 20330911 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 431014041200 its reverse (2140410134), we get a palindrome (433154451334).

The spelling of 431014041200 in words is "four hundred thirty-one billion, fourteen million, forty-one thousand, two hundred".