431643205235040 has 96 divisors (see below), whose sum is σ = 1396424099155680. Its totient is φ = 111993912705024.

The previous prime is 431643205234987. The next prime is 431643205235059. The reversal of 431643205235040 is 40532502346134.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 431643205234983 and 431643205235001.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12152099505 + ... + 12152135024.

It is an arithmetic number, because the mean of its divisors is an integer number (14546084366205).

Almost surely, 2^{431643205235040} is an apocalyptic number.

431643205235040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431643205235040 is an abundant number, since it is smaller than the sum of its proper divisors (964780893920640).

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

431643205235040 is a wasteful number, since it uses less digits than its factorization.

431643205235040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24304234584 (or 24304234576 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 431643205235040 in words is "four hundred thirty-one trillion, six hundred forty-three billion, two hundred five million, two hundred thirty-five thousand, forty".