416685742144 has 63 divisors (see below), whose sum is σ = 961941897423. Its totient is φ = 178564111488.

The previous prime is 416685742139. The next prime is 416685742159. The reversal of 416685742144 is 441247586614.

It is a happy number.

The square root of 416685742144 is 645512.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 416685742091 and 416685742100.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36142909 + ... + 36154435.

Almost surely, 2^416685742144 is an apocalyptic number.

416685742144 is the 645512-nd square number.

It is an amenable number.

416685742144 is an abundant number, since it is smaller than the sum of its proper divisors (545256155279).

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

416685742144 is an frugal number, since it uses more digits than its factorization.

416685742144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23080 (or 11536 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 52.

The spelling of 416685742144 in words is "four hundred sixteen billion, six hundred eighty-five million, seven hundred forty-two thousand, one hundred forty-four".