413341383744 has 252 divisors, whose sum is σ = 1230369182640. Its totient is φ = 132666508800.

The previous prime is 413341383739. The next prime is 413341383757. The reversal of 413341383744 is 447383143314.

413341383744 is a `hidden beast` number, since 413 + 34 + 138 + 3 + 74 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 413341383744.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 116794327 + ... + 116797865.

Almost surely, 2^413341383744 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 413341383744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615184591320).

413341383744 is an abundant number, since it is smaller than the sum of its proper divisors (817027798896).

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

413341383744 is a wasteful number, since it uses less digits than its factorization.

413341383744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830 (or 3786 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 413341383744 in words is "four hundred thirteen billion, three hundred forty-one million, three hundred eighty-three thousand, seven hundred forty-four".