413323402240 has 176 divisors, whose sum is σ = 1134056210112. Its totient is φ = 141595508736.

The previous prime is 413323402223. The next prime is 413323402259. The reversal of 413323402240 is 42204323314.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 413323402199 and 413323402208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52071552 + ... + 52079488.

Almost surely, 2^413323402240 is an apocalyptic number.

413323402240 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 413323402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567028105056).

413323402240 is an abundant number, since it is smaller than the sum of its proper divisors (720732807872).

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

413323402240 is a wasteful number, since it uses less digits than its factorization.

413323402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9422 (or 9404 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 413323402240 its reverse (42204323314), we get a palindrome (455527725554).

The spelling of 413323402240 in words is "four hundred thirteen billion, three hundred twenty-three million, four hundred two thousand, two hundred forty".