431011413342000 has 120 divisors (see below), whose sum is σ = 1505379196395360. Its totient is φ = 114936376886400.

The previous prime is 431011413341921. The next prime is 431011413342049. The reversal of 431011413342000 is 243314110134.

431011413342000 is a `hidden beast` number, since 4 + 3 + 1 + 0 + 11 + 413 + 34 + 200 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11972521260 + ... + 11972557259.

It is an arithmetic number, because the mean of its divisors is an integer number (12544826636628).

Almost surely, 2^{431011413342000} is an apocalyptic number.

431011413342000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431011413342000 is an abundant number, since it is smaller than the sum of its proper divisors (1074367783053360).

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

431011413342000 is a wasteful number, since it uses less digits than its factorization.

431011413342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23945078548 (or 23945078529 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 431011413342000 its reverse (243314110134), we get a palindrome (431254727452134).

The spelling of 431011413342000 in words is "four hundred thirty-one trillion, eleven billion, four hundred thirteen million, three hundred forty-two thousand".