413004163716 has 81 divisors (see below), whose sum is σ = 1084354193559. Its totient is φ = 137633351256.

The previous prime is 413004163681. The next prime is 413004163739. The reversal of 413004163716 is 617361400314.

The square root of 413004163716 is 642654.

It is a perfect power (a square), and thus also a powerful number.

413004163716 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 0 + 4 + 1 + 637 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 104107965 + ... + 104111931.

Almost surely, 2^413004163716 is an apocalyptic number.

413004163716 is the 642654-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413004163716

413004163716 is an abundant number, since it is smaller than the sum of its proper divisors (671350029843).

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

413004163716 is an frugal number, since it uses more digits than its factorization.

413004163716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7962 (or 3972 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 413004163716 by its sum of digits (36), we get a square (14868149893776 = 3855924²).

413004163716 divided by its sum of digits (36) gives a square (11472337881 = 107109²).

The spelling of 413004163716 in words is "four hundred thirteen billion, four million, one hundred sixty-three thousand, seven hundred sixteen".