4116018364416 has 1260 divisors, whose sum is σ = 15274037272032. Its totient is φ = 1098714710016.

The previous prime is 4116018364411. The next prime is 4116018364453. The reversal of 4116018364416 is 6144638106114.

4116018364416 is a `hidden beast` number, since 4 + 1 + 1 + 601 + 8 + 36 + 4 + 4 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4116018364411) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 95721357291 + ... + 95721357333.

Almost surely, 2^{4116018364416} is an apocalyptic number.

4116018364416 is a gapful number since it is divisible by the number (46) 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 4116018364416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7637018636016).

4116018364416 is an abundant number, since it is smaller than the sum of its proper divisors (11158018907616).

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

4116018364416 is an frugal number, since it uses more digits than its factorization.

4116018364416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 4116018364416 in words is "four trillion, one hundred sixteen billion, eighteen million, three hundred sixty-four thousand, four hundred sixteen".