431146551140 has 96 divisors (see below), whose sum is σ = 957938534784. Its totient is φ = 162802160640.

The previous prime is 431146551133. The next prime is 431146551149. The reversal of 431146551140 is 41155641134.

It is a self number, because there is not a number n which added to its sum of digits gives 431146551140.

It is not an unprimeable number, because it can be changed into a prime (431146551149) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3715682 + ... + 3829958.

It is an arithmetic number, because the mean of its divisors is an integer number (9978526404).

Almost surely, 2^431146551140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431146551140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478969267392).

431146551140 is an abundant number, since it is smaller than the sum of its proper divisors (526791983644).

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

431146551140 is a wasteful number, since it uses less digits than its factorization.

431146551140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114477 (or 114475 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 431146551140 in words is "four hundred thirty-one billion, one hundred forty-six million, five hundred fifty-one thousand, one hundred forty".