411541620352 has 64 divisors (see below), whose sum is σ = 842208481800. Its totient is φ = 200166211584.

The previous prime is 411541620341. The next prime is 411541620361. The reversal of 411541620352 is 253026145114.

It can be written as a sum of positive squares in 4 ways, for example, as 374514624576 + 37026995776 = 611976^2 + 192424^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39440928 + ... + 39451360.

Almost surely, 2^411541620352 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 411541620352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421104240900).

411541620352 is an abundant number, since it is smaller than the sum of its proper divisors (430666861448).

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

411541620352 is a wasteful number, since it uses less digits than its factorization.

411541620352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18813 (or 18801 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 411541620352 its reverse (253026145114), we get a palindrome (664567765466).

The spelling of 411541620352 in words is "four hundred eleven billion, five hundred forty-one million, six hundred twenty thousand, three hundred fifty-two".