411115695648 has 192 divisors, whose sum is σ = 1319545543680. Its totient is φ = 109454976000.

The previous prime is 411115695611. The next prime is 411115695659. The reversal of 411115695648 is 846596511114.

It is a super-3 number, since 3×411115695648³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 411115695648.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 514923 + ... + 1042773.

It is an arithmetic number, because the mean of its divisors is an integer number (6872633040).

Almost surely, 2^411115695648 is an apocalyptic number.

411115695648 is a gapful number since it is divisible by the number (48) 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 411115695648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659772771840).

411115695648 is an abundant number, since it is smaller than the sum of its proper divisors (908429848032).

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

411115695648 is a wasteful number, since it uses less digits than its factorization.

411115695648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527951 (or 527943 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 51.

The spelling of 411115695648 in words is "four hundred eleven billion, one hundred fifteen million, six hundred ninety-five thousand, six hundred forty-eight".