410013422112 has 192 divisors, whose sum is σ = 1266179330304. Its totient is φ = 113750507520.

The previous prime is 410013422111. The next prime is 410013422263. The reversal of 410013422112 is 211224310014.

It is a super-2 number, since 2×410013422112² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (410013422111) 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 31 ways as a sum of consecutive naturals, for example, 3395412 + ... + 3514092.

It is an arithmetic number, because the mean of its divisors is an integer number (6594684012).

Almost surely, 2^410013422112 is an apocalyptic number.

410013422112 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 410013422112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633089665152).

410013422112 is an abundant number, since it is smaller than the sum of its proper divisors (856165908192).

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

410013422112 is a wasteful number, since it uses less digits than its factorization.

410013422112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118851 (or 118843 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 410013422112 its reverse (211224310014), we get a palindrome (621237732126).

The spelling of 410013422112 in words is "four hundred ten billion, thirteen million, four hundred twenty-two thousand, one hundred twelve".