410315020416 has 320 divisors, whose sum is σ = 1404811858560. Its totient is φ = 116453376000.

The previous prime is 410315020363. The next prime is 410315020417. The reversal of 410315020416 is 614020513014.

It is a happy number.

410315020416 is a `hidden beast` number, since 410 + 31 + 5 + 0 + 204 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 410315020416.

It is not an unprimeable number, because it can be changed into a prime (410315020417) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 10940256 + ... + 10977696.

It is an arithmetic number, because the mean of its divisors is an integer number (4390037058).

Almost surely, 2^410315020416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 410315020416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702405929280).

410315020416 is an abundant number, since it is smaller than the sum of its proper divisors (994496838144).

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

410315020416 is a wasteful number, since it uses less digits than its factorization.

410315020416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37625 (or 37604 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 410315020416 in words is "four hundred ten billion, three hundred fifteen million, twenty thousand, four hundred sixteen".