641439595600128 has 648 divisors, whose sum is σ = 2139139528763328. Its totient is φ = 190560102211584.

The previous prime is 641439595600121. The next prime is 641439595600171. The reversal of 641439595600128 is 821006595934146.

641439595600128 is a `hidden beast` number, since 6 + 4 + 1 + 4 + 3 + 9 + 5 + 9 + 5 + 600 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-3 number, since 3×641439595600128³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (641439595600121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 679648501 + ... + 680591627.

Almost surely, 2^{641439595600128} 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 641439595600128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069569764381664).

641439595600128 is an abundant number, since it is smaller than the sum of its proper divisors (1497699933163200).

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

641439595600128 is an equidigital number, since it uses as much as digits as its factorization.

641439595600128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943229 (or 943174 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 641439595600128 in words is "six hundred forty-one trillion, four hundred thirty-nine billion, five hundred ninety-five million, six hundred thousand, one hundred twenty-eight".