416073605160 has 128 divisors (see below), whose sum is σ = 1256371200000. Its totient is φ = 110230523136.

The previous prime is 416073605137. The next prime is 416073605173. The reversal of 416073605160 is 61506370614.

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 31 ways as a sum of consecutive naturals, for example, 13337661 + ... + 13368819.

It is an arithmetic number, because the mean of its divisors is an integer number (9815400000).

Almost surely, 2^416073605160 is an apocalyptic number.

416073605160 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 416073605160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628185600000).

416073605160 is an abundant number, since it is smaller than the sum of its proper divisors (840297594840).

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

416073605160 is a wasteful number, since it uses less digits than its factorization.

416073605160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31895 (or 31891 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

Adding to 416073605160 its reverse (61506370614), we get a palindrome (477579975774).

The spelling of 416073605160 in words is "four hundred sixteen billion, seventy-three million, six hundred five thousand, one hundred sixty".