431035523200240 has 40 divisors (see below), whose sum is σ = 1145322961647840. Its totient is φ = 147783607954176.

The previous prime is 431035523200157. The next prime is 431035523200241. The reversal of 431035523200240 is 42002325530134.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×431035523200240² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 431035523200196 and 431035523200205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431035523200241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 384853145155 + ... + 384853146274.

It is an arithmetic number, because the mean of its divisors is an integer number (28633074041196).

Almost surely, 2^{431035523200240} is an apocalyptic number.

431035523200240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431035523200240 is an abundant number, since it is smaller than the sum of its proper divisors (714287438447600).

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

431035523200240 is a wasteful number, since it uses less digits than its factorization.

431035523200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769706291449 (or 769706291443 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 431035523200240 its reverse (42002325530134), we get a palindrome (473037848730374).

The spelling of 431035523200240 in words is "four hundred thirty-one trillion, thirty-five billion, five hundred twenty-three million, two hundred thousand, two hundred forty".