416464796160 has 1280 divisors, whose sum is σ = 1779057561600. Its totient is φ = 90333315072.

The previous prime is 416464796147. The next prime is 416464796161. The reversal of 416464796160 is 61697464614.

416464796160 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 6 + 479 + 6 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a junction number, because it is equal to n+sod(n) for n = 416464796097 and 416464796106.

It is not an unprimeable number, because it can be changed into a prime (416464796161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 940100899 + ... + 940101341.

It is an arithmetic number, because the mean of its divisors is an integer number (1389888720).

Almost surely, 2^416464796160 is an apocalyptic number.

416464796160 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 416464796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889528780800).

416464796160 is an abundant number, since it is smaller than the sum of its proper divisors (1362592765440).

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

416464796160 is a wasteful number, since it uses less digits than its factorization.

416464796160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 416464796160 in words is "four hundred sixteen billion, four hundred sixty-four million, seven hundred ninety-six thousand, one hundred sixty".