413970008930304 has 384 divisors, whose sum is σ = 1176436168427520. Its totient is φ = 129149406543872.

The previous prime is 413970008930251. The next prime is 413970008930311. The reversal of 413970008930304 is 403039800079314.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52156983424 + ... + 52156991360.

It is an arithmetic number, because the mean of its divisors is an integer number (3063635855280).

Almost surely, 2^{413970008930304} 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 413970008930304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588218084213760).

413970008930304 is an abundant number, since it is smaller than the sum of its proper divisors (762466159497216).

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

413970008930304 is a wasteful number, since it uses less digits than its factorization.

413970008930304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15885 (or 15865 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 413970008930304 in words is "four hundred thirteen trillion, nine hundred seventy billion, eight million, nine hundred thirty thousand, three hundred four".