413566463468928 has 2304 divisors, whose sum is σ = 1535297863680000. Its totient is φ = 96413442048000.

The previous prime is 413566463468909. The next prime is 413566463468971. The reversal of 413566463468928 is 829864364665314.

It is a super-5 number, since 5×413566463468928⁵ (a number of 74 digits) contains 55555 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413566463468928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 206886674073 + ... + 206886676071.

It is an arithmetic number, because the mean of its divisors is an integer number (666361920000).

Almost surely, 2^{413566463468928} is an apocalyptic number.

413566463468928 is a gapful number since it is divisible by the number (48) 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 413566463468928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767648931840000).

413566463468928 is an abundant number, since it is smaller than the sum of its proper divisors (1121731400211072).

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

413566463468928 is a wasteful number, since it uses less digits than its factorization.

413566463468928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181 (or 2141 counting only the distinct ones).

The product of its digits is 4299816960, while the sum is 75.

The spelling of 413566463468928 in words is "four hundred thirteen trillion, five hundred sixty-six billion, four hundred sixty-three million, four hundred sixty-eight thousand, nine hundred twenty-eight".