641244412512 has 192 divisors, whose sum is σ = 2041221772800. Its totient is φ = 194230909440.

The previous prime is 641244412451. The next prime is 641244412513. The reversal of 641244412512 is 215214442146.

641244412512 is a `hidden beast` number, since 6 + 4 + 124 + 4 + 4 + 12 + 512 = 666.

It is a super-2 number, since 2×641244412512² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641244412513) 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 31 ways as a sum of consecutive naturals, for example, 23527789 + ... + 23555027.

It is an arithmetic number, because the mean of its divisors is an integer number (10631363400).

Almost surely, 2^641244412512 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 641244412512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020610886400).

641244412512 is an abundant number, since it is smaller than the sum of its proper divisors (1399977360288).

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

641244412512 is a wasteful number, since it uses less digits than its factorization.

641244412512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29746 (or 29732 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

Adding to 641244412512 its reverse (215214442146), we get a palindrome (856458854658).

The spelling of 641244412512 in words is "six hundred forty-one billion, two hundred forty-four million, four hundred twelve thousand, five hundred twelve".