431981641728 has 1200 divisors, whose sum is σ = 1643016020800. Its totient is φ = 112368549888.

The previous prime is 431981641727. The next prime is 431981641733. The reversal of 431981641728 is 827146189134.

431981641728 is a `hidden beast` number, since 4 + 3 + 198 + 16 + 417 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (431981641727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5917556700 + ... + 5917556772.

Almost surely, 2^431981641728 is an apocalyptic number.

431981641728 is a gapful number since it is divisible by the number (48) 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 431981641728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821508010400).

431981641728 is an abundant number, since it is smaller than the sum of its proper divisors (1211034379072).

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

431981641728 is an frugal number, since it uses more digits than its factorization.

431981641728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 98 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 431981641728 in words is "four hundred thirty-one billion, nine hundred eighty-one million, six hundred forty-one thousand, seven hundred twenty-eight".