431341002240 has 160 divisors (see below), whose sum is σ = 1391833238400. Its totient is φ = 113949057024.

The previous prime is 431341002233. The next prime is 431341002331. The reversal of 431341002240 is 42200143134.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 431341002240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559311 + ... + 1084209.

It is an arithmetic number, because the mean of its divisors is an integer number (8698957740).

Almost surely, 2^431341002240 is an apocalyptic number.

431341002240 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 431341002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695916619200).

431341002240 is an abundant number, since it is smaller than the sum of its proper divisors (960492236160).

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

431341002240 is a wasteful number, since it uses less digits than its factorization.

431341002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525032 (or 525016 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 431341002240 its reverse (42200143134), we get a palindrome (473541145374).

The spelling of 431341002240 in words is "four hundred thirty-one billion, three hundred forty-one million, two thousand, two hundred forty".