416482424822016 has 864 divisors, whose sum is σ = 1443495416516608. Its totient is φ = 117299544145920.

The previous prime is 416482424822011. The next prime is 416482424822081. The reversal of 416482424822016 is 610228424284614.

416482424822016 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 8 + 2 + 424 + 8 + 2 + 201 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×416482424822016² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (416482424822011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101309271801 + ... + 101309275911.

Almost surely, 2^{416482424822016} 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 416482424822016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721747708258304).

416482424822016 is an abundant number, since it is smaller than the sum of its proper divisors (1027012991694592).

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

416482424822016 is an equidigital number, since it uses as much as digits as its factorization.

416482424822016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7409 (or 7383 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 416482424822016 in words is "four hundred sixteen trillion, four hundred eighty-two billion, four hundred twenty-four million, eight hundred twenty-two thousand, sixteen".