413503716768 has 48 divisors (see below), whose sum is σ = 1086207202080. Its totient is φ = 137738071296.

The previous prime is 413503716761. The next prime is 413503716793. The reversal of 413503716768 is 867617305314.

413503716768 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 413503716768.

It is not an unprimeable number, because it can be changed into a prime (413503716761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1369930 + ... + 1644297.

It is an arithmetic number, because the mean of its divisors is an integer number (22629316710).

Almost surely, 2^413503716768 is an apocalyptic number.

413503716768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

413503716768 is an abundant number, since it is smaller than the sum of its proper divisors (672703485312).

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

413503716768 is a wasteful number, since it uses less digits than its factorization.

413503716768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3015669 (or 3015661 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 413503716768 in words is "four hundred thirteen billion, five hundred three million, seven hundred sixteen thousand, seven hundred sixty-eight".