410020414000 has 80 divisors (see below), whose sum is σ = 1005010943040. Its totient is φ = 161761420800.

The previous prime is 410020413997. The next prime is 410020414009. The reversal of 410020414000 is 414020014.

It is a tau number, because it is divible by the number of its divisors (80).

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 (410020414009) 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, 1258180 + ... + 1550179.

It is an arithmetic number, because the mean of its divisors is an integer number (12562636788).

Almost surely, 2^410020414000 is an apocalyptic number.

410020414000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

410020414000 is an abundant number, since it is smaller than the sum of its proper divisors (594990529040).

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

410020414000 is a wasteful number, since it uses less digits than its factorization.

410020414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808455 (or 2808439 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 410020414000 its reverse (414020014), we get a palindrome (410434434014).

The spelling of 410020414000 in words is "four hundred ten billion, twenty million, four hundred fourteen thousand".