413315768320 has 896 divisors, whose sum is σ = 1303510118400. Its totient is φ = 124853944320.

The previous prime is 413315768293. The next prime is 413315768353. The reversal of 413315768320 is 23867513314.

It is a tau number, because it is divible by the number of its divisors (896).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5661859804 + ... + 5661859876.

It is an arithmetic number, because the mean of its divisors is an integer number (1454810400).

Almost surely, 2^413315768320 is an apocalyptic number.

413315768320 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 413315768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651755059200).

413315768320 is an abundant number, since it is smaller than the sum of its proper divisors (890194350080).

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

413315768320 is an equidigital number, since it uses as much as digits as its factorization.

413315768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 413315768320 in words is "four hundred thirteen billion, three hundred fifteen million, seven hundred sixty-eight thousand, three hundred twenty".