412100041024 has 112 divisors (see below), whose sum is σ = 976374374400. Its totient is φ = 168735131136.

The previous prime is 412100041021. The next prime is 412100041037. The reversal of 412100041024 is 420140001214.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 412100040992 and 412100041010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412100041021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8827857 + ... + 8874415.

Almost surely, 2^412100041024 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 412100041024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488187187200).

412100041024 is an abundant number, since it is smaller than the sum of its proper divisors (564274333376).

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

412100041024 is a wasteful number, since it uses less digits than its factorization.

412100041024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47460 (or 47450 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 412100041024 its reverse (420140001214), we get a palindrome (832240042238).

The spelling of 412100041024 in words is "four hundred twelve billion, one hundred million, forty-one thousand, twenty-four".