416304481320 has 768 divisors, whose sum is σ = 1749604147200. Its totient is φ = 83437516800.

The previous prime is 416304481319. The next prime is 416304481357. The reversal of 416304481320 is 23184403614.

416304481320 is a `hidden beast` number, since 4 + 1 + 630 + 4 + 4 + 8 + 13 + 2 + 0 = 666.

It is a super-2 number, since 2×416304481320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 113773651 + ... + 113777309.

It is an arithmetic number, because the mean of its divisors is an integer number (2278130400).

Almost surely, 2^416304481320 is an apocalyptic number.

416304481320 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 416304481320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874802073600).

416304481320 is an abundant number, since it is smaller than the sum of its proper divisors (1333299665880).

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

416304481320 is a wasteful number, since it uses less digits than its factorization.

416304481320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3870 (or 3863 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 416304481320 its reverse (23184403614), we get a palindrome (439488884934).

The spelling of 416304481320 in words is "four hundred sixteen billion, three hundred four million, four hundred eighty-one thousand, three hundred twenty".