413440609824 has 864 divisors, whose sum is σ = 1503924589440. Its totient is φ = 106785423360.

The previous prime is 413440609727. The next prime is 413440609999. The reversal of 413440609824 is 428906044314.

413440609824 is a `hidden beast` number, since 4 + 1 + 34 + 4 + 0 + 609 + 8 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 413440609824.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 258884994 + ... + 258886590.

It is an arithmetic number, because the mean of its divisors is an integer number (1740653460).

Almost surely, 2^413440609824 is an apocalyptic number.

413440609824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413440609824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751962294720).

413440609824 is an abundant number, since it is smaller than the sum of its proper divisors (1090483979616).

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

413440609824 is a wasteful number, since it uses less digits than its factorization.

413440609824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 413440609824 in words is "four hundred thirteen billion, four hundred forty million, six hundred nine thousand, eight hundred twenty-four".