413989136176 has 320 divisors, whose sum is σ = 1119734046720. Its totient is φ = 143151943680.

The previous prime is 413989136131. The next prime is 413989136179. The reversal of 413989136176 is 671631989314.

It is a self number, because there is not a number n which added to its sum of digits gives 413989136176.

It is not an unprimeable number, because it can be changed into a prime (413989136179) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90329181 + ... + 90333763.

It is an arithmetic number, because the mean of its divisors is an integer number (3499168896).

Almost surely, 2^413989136176 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 413989136176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559867023360).

413989136176 is an abundant number, since it is smaller than the sum of its proper divisors (705744910544).

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

413989136176 is a wasteful number, since it uses less digits than its factorization.

413989136176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4872 (or 4866 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 58.

The spelling of 413989136176 in words is "four hundred thirteen billion, nine hundred eighty-nine million, one hundred thirty-six thousand, one hundred seventy-six".