413102224314 has 256 divisors, whose sum is σ = 1066976064000. Its totient is φ = 117344747520.

The previous prime is 413102224303. The next prime is 413102224349. The reversal of 413102224314 is 413422201314.

413102224314 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 0 + 222 + 431 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 139137022 + ... + 139139990.

It is an arithmetic number, because the mean of its divisors is an integer number (4167875250).

Almost surely, 2^413102224314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413102224314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533488032000).

413102224314 is an abundant number, since it is smaller than the sum of its proper divisors (653873839686).

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

413102224314 is a wasteful number, since it uses less digits than its factorization.

413102224314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3230 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 413102224314 its reverse (413422201314), we get a palindrome (826524425628).

The spelling of 413102224314 in words is "four hundred thirteen billion, one hundred two million, two hundred twenty-four thousand, three hundred fourteen".