4105277116416 has 936 divisors, whose sum is σ = 14264326381760. Its totient is φ = 1157080743936.

The previous prime is 4105277116411. The next prime is 4105277116427. The reversal of 4105277116416 is 6146117725014.

4105277116416 is a `hidden beast` number, since 4 + 1 + 0 + 52 + 77 + 116 + 416 = 666.

It is a super-3 number, since 3×4105277116416³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4105277116411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26148261810 + ... + 26148261966.

Almost surely, 2^{4105277116416} 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 4105277116416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132163190880).

4105277116416 is an abundant number, since it is smaller than the sum of its proper divisors (10159049265344).

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

4105277116416 is an frugal number, since it uses more digits than its factorization.

4105277116416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 4105277116416 in words is "four trillion, one hundred five billion, two hundred seventy-seven million, one hundred sixteen thousand, four hundred sixteen".