2016120412416 has 288 divisors, whose sum is σ = 6046932971520. Its totient is φ = 590799052800.

The previous prime is 2016120412363. The next prime is 2016120412469. The reversal of 2016120412416 is 6142140216102.

It is an interprime number because it is at equal distance from previous prime (2016120412363) and next prime (2016120412469).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570652186 + ... + 570655718.

It is an arithmetic number, because the mean of its divisors is an integer number (20996295040).

Almost surely, 2^{2016120412416} 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 2016120412416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023466485760).

2016120412416 is an abundant number, since it is smaller than the sum of its proper divisors (4030812559104).

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

2016120412416 is a wasteful number, since it uses less digits than its factorization.

2016120412416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5773 (or 5759 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 2016120412416 its reverse (6142140216102), we get a palindrome (8158260628518).

The spelling of 2016120412416 in words is "two trillion, sixteen billion, one hundred twenty million, four hundred twelve thousand, four hundred sixteen".