411320361312 has 864 divisors, whose sum is σ = 1475690711040. Its totient is φ = 112243138560.

The previous prime is 411320361301. The next prime is 411320361313. The reversal of 411320361312 is 213163023114.

It is a happy number.

411320361312 is a `hidden beast` number, since 4 + 1 + 1 + 32 + 0 + 3 + 613 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×411320361312² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411320361313) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1145738989 + ... + 1145739347.

It is an arithmetic number, because the mean of its divisors is an integer number (1707975360).

Almost surely, 2^411320361312 is an apocalyptic number.

411320361312 is a gapful number since it is divisible by the number (42) 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 411320361312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737845355520).

411320361312 is an abundant number, since it is smaller than the sum of its proper divisors (1064370349728).

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

411320361312 is a wasteful number, since it uses less digits than its factorization.

411320361312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 411320361312 its reverse (213163023114), we get a palindrome (624483384426).

The spelling of 411320361312 in words is "four hundred eleven billion, three hundred twenty million, three hundred sixty-one thousand, three hundred twelve".