416273544728064 has 640 divisors, whose sum is σ = 1315793114803200. Its totient is φ = 131181610696704.

The previous prime is 416273544727939. The next prime is 416273544728077. The reversal of 416273544728064 is 460827445372614.

416273544728064 is a `hidden beast` number, since 4 + 1 + 6 + 2 + 7 + 3 + 544 + 7 + 2 + 80 + 6 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 416273544727992 and 416273544728010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10360971144 + ... + 10361011320.

It is an arithmetic number, because the mean of its divisors is an integer number (2055926741880).

Almost surely, 2^{416273544728064} 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 416273544728064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657896557401600).

416273544728064 is an abundant number, since it is smaller than the sum of its proper divisors (899519570075136).

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

416273544728064 is an frugal number, since it uses more digits than its factorization.

416273544728064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40722 (or 40688 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 63.

The spelling of 416273544728064 in words is "four hundred sixteen trillion, two hundred seventy-three billion, five hundred forty-four million, seven hundred twenty-eight thousand, sixty-four".