413422566240 has 192 divisors, whose sum is σ = 1347700939200. Its totient is φ = 106403856384.

The previous prime is 413422566217. The next prime is 413422566247. The reversal of 413422566240 is 42665224314.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413422566247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57472084 + ... + 57479276.

It is an arithmetic number, because the mean of its divisors is an integer number (7019275725).

Almost surely, 2^413422566240 is an apocalyptic number.

413422566240 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 413422566240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673850469600).

413422566240 is an abundant number, since it is smaller than the sum of its proper divisors (934278372960).

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

413422566240 is a wasteful number, since it uses less digits than its factorization.

413422566240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11369 (or 11361 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 413422566240 in words is "four hundred thirteen billion, four hundred twenty-two million, five hundred sixty-six thousand, two hundred forty".