413281662912 has 168 divisors, whose sum is σ = 1229029257456. Its totient is φ = 137697988608.

The previous prime is 413281662907. The next prime is 413281662917. The reversal of 413281662912 is 219266182314.

413281662912 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 8 + 1 + 6 + 629 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (413281662907) and next prime (413281662917).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413281662917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45049558 + ... + 45058730.

It is an arithmetic number, because the mean of its divisors is an integer number (7315650342).

Almost surely, 2^413281662912 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 413281662912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614514628728).

413281662912 is an abundant number, since it is smaller than the sum of its proper divisors (815747594544).

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

413281662912 is an equidigital number, since it uses as much as digits as its factorization.

413281662912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12097 (or 12075 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 413281662912 in words is "four hundred thirteen billion, two hundred eighty-one million, six hundred sixty-two thousand, nine hundred twelve".