410112340000 has 480 divisors, whose sum is σ = 1187343178560. Its totient is φ = 137779200000.

The previous prime is 410112339979. The next prime is 410112340009. The reversal of 410112340000 is 43211014.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (410112340009) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 171378804 + ... + 171381196.

It is an arithmetic number, because the mean of its divisors is an integer number (2473631622).

Almost surely, 2^410112340000 is an apocalyptic number.

410112340000 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 410112340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593671589280).

410112340000 is an abundant number, since it is smaller than the sum of its proper divisors (777230838560).

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

410112340000 is a wasteful number, since it uses less digits than its factorization.

410112340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 410112340000 its reverse (43211014), we get a palindrome (410155551014).

The spelling of 410112340000 in words is "four hundred ten billion, one hundred twelve million, three hundred forty thousand".