2041283716416 has 336 divisors, whose sum is σ = 6946716323456. Its totient is φ = 582195216384.

The previous prime is 2041283716361. The next prime is 2041283716421. The reversal of 2041283716416 is 6146173821402.

2041283716416 is a `hidden beast` number, since 20 + 412 + 83 + 71 + 64 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62798280 + ... + 62830776.

Almost surely, 2^{2041283716416} 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 2041283716416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473358161728).

2041283716416 is an abundant number, since it is smaller than the sum of its proper divisors (4905432607040).

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

2041283716416 is an equidigital number, since it uses as much as digits as its factorization.

2041283716416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33108 (or 33086 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2041283716416 in words is "two trillion, forty-one billion, two hundred eighty-three million, seven hundred sixteen thousand, four hundred sixteen".