411301421313012 has 240 divisors, whose sum is σ = 1104651179089920. Its totient is φ = 133400228270400.

The previous prime is 411301421312993. The next prime is 411301421313043. The reversal of 411301421313012 is 210313124103114.

411301421313012 is a `hidden beast` number, since 4 + 1 + 1 + 301 + 4 + 21 + 31 + 301 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4265192437 + ... + 4265288867.

It is an arithmetic number, because the mean of its divisors is an integer number (4602713246208).

Almost surely, 2^{411301421313012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411301421313012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552325589544960).

411301421313012 is an abundant number, since it is smaller than the sum of its proper divisors (693349757776908).

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

411301421313012 is a wasteful number, since it uses less digits than its factorization.

411301421313012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98944 (or 98933 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 411301421313012 its reverse (210313124103114), we get a palindrome (621614545416126).

The spelling of 411301421313012 in words is "four hundred eleven trillion, three hundred one billion, four hundred twenty-one million, three hundred thirteen thousand, twelve".