411310021134012 has 384 divisors, whose sum is σ = 1324405314355200. Its totient is φ = 95878053872640.

The previous prime is 411310021134011. The next prime is 411310021134029. The reversal of 411310021134012 is 210431120013114.

It is a super-2 number, since 2×411310021134012² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411310021134011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 589428489 + ... + 590125887.

It is an arithmetic number, because the mean of its divisors is an integer number (3448972172800).

Almost surely, 2^{411310021134012} is an apocalyptic number.

411310021134012 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 411310021134012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662202657177600).

411310021134012 is an abundant number, since it is smaller than the sum of its proper divisors (913095293221188).

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

411310021134012 is a wasteful number, since it uses less digits than its factorization.

411310021134012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698801 (or 698799 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 411310021134012 its reverse (210431120013114), we get a palindrome (621741141147126).

The spelling of 411310021134012 in words is "four hundred eleven trillion, three hundred ten billion, twenty-one million, one hundred thirty-four thousand, twelve".