416807360160 has 96 divisors (see below), whose sum is σ = 1313987935680. Its totient is φ = 111060185088.

The previous prime is 416807360131. The next prime is 416807360173. The reversal of 416807360160 is 61063708614.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259464 + ... + 949176.

It is an arithmetic number, because the mean of its divisors is an integer number (13687374330).

Almost surely, 2^416807360160 is an apocalyptic number.

416807360160 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 416807360160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656993967840).

416807360160 is an abundant number, since it is smaller than the sum of its proper divisors (897180575520).

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

416807360160 is a wasteful number, since it uses less digits than its factorization.

416807360160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690990 (or 690982 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 416807360160 in words is "four hundred sixteen billion, eight hundred seven million, three hundred sixty thousand, one hundred sixty".