641282434272 has 144 divisors (see below), whose sum is σ = 1874298666240. Its totient is φ = 207904409856.

The previous prime is 641282434267. The next prime is 641282434337. The reversal of 641282434272 is 272434282146.

641282434272 is a `hidden beast` number, since 64 + 1 + 282 + 43 + 4 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×641282434272² (a number of 24 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1314043 + ... + 1734725.

It is an arithmetic number, because the mean of its divisors is an integer number (13015962960).

Almost surely, 2^641282434272 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 641282434272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937149333120).

641282434272 is an abundant number, since it is smaller than the sum of its proper divisors (1233016231968).

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

641282434272 is a wasteful number, since it uses less digits than its factorization.

641282434272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420845 (or 420834 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The spelling of 641282434272 in words is "six hundred forty-one billion, two hundred eighty-two million, four hundred thirty-four thousand, two hundred seventy-two".