641060413804800 has 1944 divisors, whose sum is σ = 2655909004694400. Its totient is φ = 147002580172800.

The previous prime is 641060413804747. The next prime is 641060413804801. The reversal of 641060413804800 is 8408314060146.

641060413804800 is a `hidden beast` number, since 6 + 4 + 1 + 0 + 604 + 1 + 38 + 0 + 4 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (641060413804801) 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 215 ways as a sum of consecutive naturals, for example, 95211702234 + ... + 95211708966.

Almost surely, 2^{641060413804800} is an apocalyptic number.

641060413804800 is a gapful number since it is divisible by the number (60) 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 641060413804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327954502347200).

641060413804800 is an abundant number, since it is smaller than the sum of its proper divisors (2014848590889600).

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

641060413804800 is a wasteful number, since it uses less digits than its factorization.

641060413804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7525 (or 7492 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

Adding to 641060413804800 its reverse (8408314060146), we get a palindrome (649468727864946).

The spelling of 641060413804800 in words is "six hundred forty-one trillion, sixty billion, four hundred thirteen million, eight hundred four thousand, eight hundred".