413489870171136 has 352 divisors, whose sum is σ = 1366947336902400. Its totient is φ = 122386004213760.

The previous prime is 413489870171111. The next prime is 413489870171159. The reversal of 413489870171136 is 631171078984314.

It is a happy number.

413489870171136 is a `hidden beast` number, since 4 + 1 + 3 + 489 + 8 + 7 + 0 + 17 + 1 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2731701 + ... + 28886708.

It is an arithmetic number, because the mean of its divisors is an integer number (3883373116200).

Almost surely, 2^{413489870171136} 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 413489870171136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683473668451200).

413489870171136 is an abundant number, since it is smaller than the sum of its proper divisors (953457466731264).

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

413489870171136 is a wasteful number, since it uses less digits than its factorization.

413489870171136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31618492 (or 31618468 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 413489870171136 in words is "four hundred thirteen trillion, four hundred eighty-nine billion, eight hundred seventy million, one hundred seventy-one thousand, one hundred thirty-six".