641133205410 has 128 divisors (see below), whose sum is σ = 1577984716800. Its totient is φ = 166638113280.

The previous prime is 641133205379. The next prime is 641133205463. The reversal of 641133205410 is 14502331146.

It is a super-2 number, since 2×641133205410² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 496616865 + ... + 496618155.

It is an arithmetic number, because the mean of its divisors is an integer number (12328005600).

Almost surely, 2^641133205410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641133205410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788992358400).

641133205410 is an abundant number, since it is smaller than the sum of its proper divisors (936851511390).

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

641133205410 is a wasteful number, since it uses less digits than its factorization.

641133205410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536.

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 641133205410 its reverse (14502331146), we get a palindrome (655635536556).

The spelling of 641133205410 in words is "six hundred forty-one billion, one hundred thirty-three million, two hundred five thousand, four hundred ten".