411371665436160 has 960 divisors, whose sum is σ = 1712693901574656. Its totient is φ = 89914348339200.

The previous prime is 411371665436159. The next prime is 411371665436191. The reversal of 411371665436160 is 61634566173114.

411371665436160 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 7 + 16 + 6 + 5 + 4 + 3 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 411371665436097 and 411371665436106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140221125 + ... + 143124795.

Almost surely, 2^{411371665436160} is an apocalyptic number.

411371665436160 is a gapful number since it is divisible by the number (40) 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 411371665436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856346950787328).

411371665436160 is an abundant number, since it is smaller than the sum of its proper divisors (1301322236138496).

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

411371665436160 is a wasteful number, since it uses less digits than its factorization.

411371665436160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2903767 (or 2903748 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 411371665436160 in words is "four hundred eleven trillion, three hundred seventy-one billion, six hundred sixty-five million, four hundred thirty-six thousand, one hundred sixty".