413011434040 has 64 divisors (see below), whose sum is σ = 949472409600. Its totient is φ = 161617200768.

The previous prime is 413011433983. The next prime is 413011434049. The reversal of 413011434040 is 40434110314.

It is a junction number, because it is equal to n+sod(n) for n = 413011433996 and 413011434014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413011434049) 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, 4251531 + ... + 4347589.

It is an arithmetic number, because the mean of its divisors is an integer number (14835506400).

Almost surely, 2^413011434040 is an apocalyptic number.

413011434040 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 413011434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474736204800).

413011434040 is an abundant number, since it is smaller than the sum of its proper divisors (536460975560).

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

413011434040 is a wasteful number, since it uses less digits than its factorization.

413011434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98404 (or 98400 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 413011434040 its reverse (40434110314), we get a palindrome (453445544354).

The spelling of 413011434040 in words is "four hundred thirteen billion, eleven million, four hundred thirty-four thousand, forty".