413313203440 has 160 divisors (see below), whose sum is σ = 1054959728256. Its totient is φ = 150109470720.

The previous prime is 413313203393. The next prime is 413313203453. The reversal of 413313203440 is 44302313314.

It is a junction number, because it is equal to n+sod(n) for n = 413313203399 and 413313203408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2717244 + ... + 2865316.

Almost surely, 2^413313203440 is an apocalyptic number.

413313203440 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 413313203440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527479864128).

413313203440 is an abundant number, since it is smaller than the sum of its proper divisors (641646524816).

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

413313203440 is a wasteful number, since it uses less digits than its factorization.

413313203440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148187 (or 148181 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 413313203440 its reverse (44302313314), we get a palindrome (457615516754).

The spelling of 413313203440 in words is "four hundred thirteen billion, three hundred thirteen million, two hundred three thousand, four hundred forty".