431143420320 has 288 divisors, whose sum is σ = 1502963646912. Its totient is φ = 112521486336.

The previous prime is 431143420319. The next prime is 431143420363. The reversal of 431143420320 is 23024341134.

431143420320 is a `hidden beast` number, since 4 + 3 + 1 + 1 + 434 + 203 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12771784 + ... + 12805496.

It is an arithmetic number, because the mean of its divisors is an integer number (5218623774).

Almost surely, 2^431143420320 is an apocalyptic number.

431143420320 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 431143420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751481823456).

431143420320 is an abundant number, since it is smaller than the sum of its proper divisors (1071820226592).

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

431143420320 is a wasteful number, since it uses less digits than its factorization.

431143420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33924 (or 33913 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 431143420320 its reverse (23024341134), we get a palindrome (454167761454).

The spelling of 431143420320 in words is "four hundred thirty-one billion, one hundred forty-three million, four hundred twenty thousand, three hundred twenty".