410013102012 has 192 divisors, whose sum is σ = 1056079987200. Its totient is φ = 123305656320.

The previous prime is 410013101999. The next prime is 410013102047. The reversal of 410013102012 is 210201310014.

It is a super-2 number, since 2×410013102012² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 410013101982 and 410013102000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 226400587 + ... + 226402397.

It is an arithmetic number, because the mean of its divisors is an integer number (5500416600).

Almost surely, 2^410013102012 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 410013102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528039993600).

410013102012 is an abundant number, since it is smaller than the sum of its proper divisors (646066885188).

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

410013102012 is a wasteful number, since it uses less digits than its factorization.

410013102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 410013102012 its reverse (210201310014), we get a palindrome (620214412026).

The spelling of 410013102012 in words is "four hundred ten billion, thirteen million, one hundred two thousand, twelve".