413360659296 has 336 divisors, whose sum is σ = 1356423143040. Its totient is φ = 123082260480.

The previous prime is 413360659219. The next prime is 413360659301. The reversal of 413360659296 is 692956063314.

413360659296 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 606 + 5 + 9 + 29 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9379200 + ... + 9423168.

It is an arithmetic number, because the mean of its divisors is an integer number (4036973640).

Almost surely, 2^413360659296 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 413360659296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678211571520).

413360659296 is an abundant number, since it is smaller than the sum of its proper divisors (943062483744).

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

413360659296 is a wasteful number, since it uses less digits than its factorization.

413360659296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44041 (or 44018 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 413360659296 in words is "four hundred thirteen billion, three hundred sixty million, six hundred fifty-nine thousand, two hundred ninety-six".