416606561280 has 2640 divisors, whose sum is σ = 1992354598080. Its totient is φ = 82269831168.

The previous prime is 416606561251. The next prime is 416606561309. The reversal of 416606561280 is 82165606614.

416606561280 is a `hidden beast` number, since 4 + 1 + 6 + 6 + 0 + 6 + 561 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (416606561251) and next prime (416606561309).

It is a super-2 number, since 2×416606561280² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5019356119 + ... + 5019356201.

It is an arithmetic number, because the mean of its divisors is an integer number (754679772).

Almost surely, 2^416606561280 is an apocalyptic number.

416606561280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416606561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996177299040).

416606561280 is an abundant number, since it is smaller than the sum of its proper divisors (1575748036800).

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

416606561280 is a wasteful number, since it uses less digits than its factorization.

416606561280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 416606561280 in words is "four hundred sixteen billion, six hundred six million, five hundred sixty-one thousand, two hundred eighty".