411012320320 has 224 divisors, whose sum is σ = 1155720254976. Its totient is φ = 136309555200.

The previous prime is 411012320317. The next prime is 411012320339. The reversal of 411012320320 is 23023210114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×411012320320² (a number of 24 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 8404740 + ... + 8453500.

It is an arithmetic number, because the mean of its divisors is an integer number (5159465424).

Almost surely, 2^411012320320 is an apocalyptic number.

411012320320 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 411012320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577860127488).

411012320320 is an abundant number, since it is smaller than the sum of its proper divisors (744707934656).

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

411012320320 is a wasteful number, since it uses less digits than its factorization.

411012320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48909 (or 48899 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 411012320320 its reverse (23023210114), we get a palindrome (434035530434).

The spelling of 411012320320 in words is "four hundred eleven billion, twelve million, three hundred twenty thousand, three hundred twenty".