4116865779852 has 288 divisors, whose sum is σ = 11670045069312. Its totient is φ = 1106337802752.

The previous prime is 4116865779839. The next prime is 4116865779881. The reversal of 4116865779852 is 2589775686114.

It is a super-2 number, since 2×4116865779852² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3766573818 + ... + 3766574910.

It is an arithmetic number, because the mean of its divisors is an integer number (40520989824).

Almost surely, 2^{4116865779852} is an apocalyptic number.

4116865779852 is a gapful number since it is divisible by the number (42) 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 4116865779852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5835022534656).

4116865779852 is an abundant number, since it is smaller than the sum of its proper divisors (7553179289460).

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

4116865779852 is a wasteful number, since it uses less digits than its factorization.

4116865779852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925 (or 1904 counting only the distinct ones).

The product of its digits is 203212800, while the sum is 69.

The spelling of 4116865779852 in words is "four trillion, one hundred sixteen billion, eight hundred sixty-five million, seven hundred seventy-nine thousand, eight hundred fifty-two".