413411233240 has 64 divisors (see below), whose sum is σ = 979721532000. Its totient is φ = 156566753280.

The previous prime is 413411233219. The next prime is 413411233241. The reversal of 413411233240 is 42332114314.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 413411233199 and 413411233208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413411233241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1105480 + ... + 1431400.

Almost surely, 2^413411233240 is an apocalyptic number.

413411233240 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 413411233240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489860766000).

413411233240 is an abundant number, since it is smaller than the sum of its proper divisors (566310298760).

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

413411233240 is a wasteful number, since it uses less digits than its factorization.

413411233240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327620 (or 327616 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 413411233240 its reverse (42332114314), we get a palindrome (455743347554).

The spelling of 413411233240 in words is "four hundred thirteen billion, four hundred eleven million, two hundred thirty-three thousand, two hundred forty".