431313410000 has 200 divisors, whose sum is σ = 1150957625664. Its totient is φ = 155220480000.

The previous prime is 431313409999. The next prime is 431313410027. The reversal of 431313410000 is 14313134.

It is a tau number, because it is divible by the number of its divisors (200).

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 39 ways as a sum of consecutive naturals, for example, 10649789 + ... + 10690211.

Almost surely, 2^431313410000 is an apocalyptic number.

431313410000 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 431313410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575478812832).

431313410000 is an abundant number, since it is smaller than the sum of its proper divisors (719644215664).

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

431313410000 is a wasteful number, since it uses less digits than its factorization.

431313410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40559 (or 40538 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 431313410000 its reverse (14313134), we get a palindrome (431327723134).

The spelling of 431313410000 in words is "four hundred thirty-one billion, three hundred thirteen million, four hundred ten thousand".