413641102056 has 192 divisors, whose sum is σ = 1308300698880. Its totient is φ = 108011635200.

The previous prime is 413641102051. The next prime is 413641102087. The reversal of 413641102056 is 650201146314.

It is a super-2 number, since 2×413641102056² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (413641102051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1410145 + ... + 1678031.

It is an arithmetic number, because the mean of its divisors is an integer number (6814066140).

Almost surely, 2^413641102056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413641102056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654150349440).

413641102056 is an abundant number, since it is smaller than the sum of its proper divisors (894659596824).

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

413641102056 is a wasteful number, since it uses less digits than its factorization.

413641102056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268024 (or 268013 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 413641102056 in words is "four hundred thirteen billion, six hundred forty-one million, one hundred two thousand, fifty-six".