641050810400 has 1728 divisors, whose sum is σ = 2345812358400. Its totient is φ = 167989248000.

The previous prime is 641050810399. The next prime is 641050810453. The reversal of 641050810400 is 4018050146.

It is a super-2 number, since 2×641050810400² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20679058385 + ... + 20679058415.

It is an arithmetic number, because the mean of its divisors is an integer number (1357530300).

Almost surely, 2^641050810400 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 641050810400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172906179200).

641050810400 is an abundant number, since it is smaller than the sum of its proper divisors (1704761548000).

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

641050810400 is a wasteful number, since it uses less digits than its factorization.

641050810400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

Adding to 641050810400 its reverse (4018050146), we get a palindrome (645068860546).

The spelling of 641050810400 in words is "six hundred forty-one billion, fifty million, eight hundred ten thousand, four hundred".